MMP Ch 1 and 2
In Michael Johnson's world-record 400 m sprint, he ran the first 100 m in 11.20 s; then he reached the 200 m mark after a total time of 21.32 s had elapsed, reached the 300 m mark after 31.76 s, and finished in 43.18 s. During what 100 m segment was his speed the highest? During this segment, what was his speed in m/s?
- Between the 100 m mark and the 200 m mark. - 9.88 m/s
Chameleons catch insects with their tongues, which they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 210 m/s^2 for 20 ms, then travels at constant speed for another 30 ms During this total time of 50 ms, 1/20 of a second, how far does the tongue reach?
16.8 cm rounded to 17cm
Amanda has just entered an elevator. The elevator rises and stops at the third floor. Select the correct motion diagram of Amanda during her entire ride on the elevator, using the particle model. The dots are numbered in order, starting from zero. (Be sure to consider how the elevator speeds up and slows down.)
dots are closer together at the start and finish while spreading out in between dots 2-3 and 3-4.
You wave goodbye to a friend after physics class, and she rides off on her bike. After 3.0 s, she is 15 m away. How far away will she be after 30 s ?
150 m
The most precise measurement of the speed of light in vacuum is 299,792,458 m/s. Which of the following values would you use to write this speed in scientific notation to three significant figures?
3.00×10^8m/s
If you dropped a rock and it fell 4.9 m in 1 s , how far would it fall in 3 s ?
44.1 m
Three displacement vectors have lengths 1 m, 2 m, and 4 m. Could they possibly add together to get a vector of length zero?
no
Suppose that at room temperature, a certain aluminum bar is 1.0000 mm long. The bar gets longer when its temperature is raised. The length lll of the bar obeys the following relation: l=1.0000+2.4×10−5T, where T is the number of degrees Celsius above room temperature. What is the change of the bar's length if the temperature is raised to 19.3 ∘C above room temperature?
4.66 X 10^-4
Foraging bees often move in straight lines away from and toward their hives. Suppose a bee starts at its hive and flies 500 m due east, then flies 450 m west, then 690 m east. How far is the bee from the hive?
740 m
If your bedroom has a circular shape, and its diameter measured 6.32 mm, which of the following numbers would be the most precise value for its area?
31.4 m^2 A=π(d/2)^2
The Greenland shark is thought to be the longest-living vertebrate on earth. Early estimates of its maximum age were based on the fact that such sharks grow in length only about a centimeter per year, and yet an adult shark can reach a length of 15 feet. Estimate how long a 13 foot shark might have lived. (A newborn shark is about 1 foot long.)
365.76 yrs
Which of the following describes how d and t are related in the previous two parts?
As t shrinks to zero, d shrinks to zero. As t grows toward infinity, d grows toward infinity.
Steelhead trout migrate upriver to spawn. Occasionally they need to leap up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s What is the maximum height that a steelhead can jump? Leaving the water vertically at 8.0 m/s, a steelhead lands on the top of a waterfall 1.8 m high. How long is it in the air?
- 3.27 m - 1.36 s rounded to 4s
Chameleons can rapidly project their very long tongues to catch nearby insects. The tongue of the tiny Rosette-nosed chameleon has the highest acceleration of a body part of any amniote (reptile, bird, or mammal) ever measured. In a somewhat simplified model of its tongue motion, the tongue, starting from rest, first undergoes a constant-acceleration phase with an astounding magnitude of 2500 m/s^2. This acceleration brings the tongue up to a final speed of 5.0 m/s. It continues at this speed for 22 ms until it hits its target. How long does the acceleration phase last? What is the total distance traveled by the chameleon's tongue?
- 0.002 s - 0.115 cm rounded to 0.12 cm
When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . What is the flea's acceleration as it extends its legs? How long does it take the flea to leave the ground after it begins pushing off?
- 1000 m/s/s - 0.001 s
Your bedroom has a rectangular shape and you want to measure its size. You use a tape that is precise to 0.001 m and find that the shortest wall in the room is 3.547 m long. The tape, however, is too short to measure the length of the second wall, so you use a second tape, which is longer but only precise to 0.01 m. You measure the second wall to be 4.79 m long. Which of the following numbers is the most precise estimate that you can obtain from your measurements for the area of your bedroom? Using the measurements described in Part A, which of the following numbers is the most precise estimate for the perimeter of your bedroom?
- 17.0 m^2 - 16.67 m
shows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and then rides south 0.9mimi to Broadway. She turns east onto Broadway, rides 0.8 mimi to where Broadway turns, and then continues another 1.4mimi to the shop. What is the magnitude of the total displacement of her trip? What is the direction of the total displacement of her trip?
- 2.01 mi - 354.32 degrees
A car is traveling at a steady 71 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.1 m/s^2 . How much time elapses before the motorcycle is moving as fast as the car? How far is the motorcycle from the car when it reaches this speed?
- 2.8 s - 27 m
In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s^2 . Ignore air resistance. A flea jumps straight up to a maximum height of 0.410 m . What is its initial velocity v0 as it leaves the ground? How long is the flea in the air from the time it jumps to the time it hits the ground?
- 2.83 m/s - 0.579 s
The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel around the track at a constant speed of 100 km/h. A car starts at the easternmost point of the ring and drives for 15 minutes at this speed. What distance, in km, does the car travel? What is the magnitude of the car's displacement, in km, from its initial position? What is the speed of the car in m/s?
- 25 km - d = 0 km - 25 m/s
Walking at a brisk pace, you cover 10 m in 5.0 s . How many seconds will you need to cover 50 m ? n the above examples, the proportionality constant is positive. If si and sf are the initial and final positions, respectively, we can define Δs=sf−si, and similarly, Δt=tf−ti, to obtain Δs=vΔt. How do Δs = Δt relate for positive v in the relation Δs=vΔt?
- 25 s - As Δt shrinks to zero, Δs shrinks to zero. As Δt grows toward infinity, Δs grows toward infinity.
When striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.1 m/s in 0.12 s . What is the acceleration of the pike during this strike? How far does the pike move during this strike?
- 34 m/s - 245 m
You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s^2 . How much distance is between you and the deer when you come to a stop? You found the distance that you will cover while braking. You can use the expected amount of time for braking to check your answer for distance. Using the information given in the introduction and the value for distance that you found above, determine the time required for you to stop once you press the brakes. Note that the time for braking is just the time interval t3−t2.
- 5 m - 2 s
Haley is driving down a straight highway at 71 mph. A construction sign warns that the speed limit will drop to 55 mph in 0.50 mi. What constant acceleration (in m/s^2) will bring Haley to this lower speed in the distance available?
0.25 m/s/s
What is the speed of a car going v=1.000mph in SI units? Notice that you will need to change from miles to meters and from hours to seconds. You can do each conversion separately. Use the facts that 1mile=1609m and 1hour=3600s.
0.4469 m/s
A capillary vessel is a blood vessel whose diameter is not larger than 0.000010 m. Which of the following values would you use to write this length in scientific notation to two significant figures?
1.0×10^−5m
If you know that the rock fell 4.9 m in 1 s , how far did it drop in the first 0.5 s after you dropped it?
1.23 m
Captain John Stapp pioneered research into the physiological effects of large accelerations on humans. During one such test his sled slowed from 282 m/s with an acceleration of -201 m/s^2. How long did it take him to stop?
1.4 s
If you make multiple measurements of your height, you are likely to find that the results vary by nearly half an inch in either direction due to measurement error and actual variations in height. You are slightly shorter in the evening, after gravity has compressed and reshaped your spine over the course of a day. One measurement of a man's height is 5 feet and 9 inches . Express his height in meters, using the appropriate number of significant figures.
1.8 m
Hicham El Guerrouj of Morocco holds the world record in the 1500 m running race. He ran the final 400 m in a time of 51.9 s. What was his average speed in mph over the last 400 m?
17.2 mph
The Great Pyramid of Giza is 139 m tall, with a slope of 51.8∘ If you were to climb the pyramid from base to top (which is forbidden!), what distance along the face of the pyramid would you travel?
176.88 m
Assuming that the relationship between spring compression and height is quadratic, how far will the ball go at the highest setting, which compresses the spring 3 cm ?
2.25 m
Suppose that a particular artillery piece has a range RRR = 4710 yards . Find its range in miles. Use the facts that 1mile=5280ft and 3ft=1yard.
2.68 mi
Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of town at 7.0 m/s . Once free of this area, it speeds up to 12 m/s in 8.0 s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed. What is the final speed?
22 m/s
During the summer, when your lawn is growing quickly, estimate this speed, in m/s. Make this estimate from your experience noting, for instance, how often you mow the lawn and what length you trim.
4×10^−8m/s
Gretchen runs the first 4.0 km of a race at 6.0 m/s. Then a stiff wind comes up, so she runs the last 1.0 km at only 4.0 m/s If she later ran the same course again, what constant speed would let her finish in the same time as in the first race?
5.45 m/s
On August 27, 2003, Mars reached a distance of 55,758,000 km from the earth, which was the closest distance between the two planets in nearly 60,000 years. Which of the following values would you use to write this distance in scientific notation to two significant figures?
5.6×10^7km
If a gannet hits the water at 32 m/s , what height did it dive from? Assume that the gannet was motionless before starting its dive.
52.2 m
How many centimeters are there in a length 21.9 inches ?
55.6 cm
Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road oriented at an angle of 25∘∘ north of east. The road then turns due north for another 6.0 mi to the finish line In miles, what is the straight-line distance from the starting point to the end of the race?
9.46 mi
In a 5000 m race, the athletes run 12(1/2) laps; each lap is 400 m. Kara runs the race at a constant pace and finishes in 17.1 min. Hannah runs the race in a blistering 15.3 min, so fast that she actually passes Kara during the race. How many laps has Hannah run when she passes Kara?
9.5
In a typical greyhound race, a dog accelerates to a speed of 20 m/s over a distance of 30 mm. It then maintains this speed.
dots move further away from each other until 30 m and then maintain spacing.
The bush baby, a small African mammal, is a remarkable jumper. Although only about 8 inches long, it can jump, from a standing start, straight up to a height of over 7 feet! Use the particle model and select the correct motion diagram for a bush baby's jump, from its start until it reaches its highest point.
the dots become closer together from start to finish
