Physics- Chapter 1-4 Math Questions

A bullet is fired horizontally with an initial velocity of 700 m/s at a target located 300 m from the rifle. (a) How much time is required for the bullet to reach the target? ______ s (b) Using the approximate value of g = 10 m/s2, how far does the bullet fall in this time? _____ m

(a) 0.429 (b) 0.92

A ball rolls off a platform that is 6 meters above the ground. The ball's horizontal velocity as it leaves the platform is 4.7 m/s. (a) How much time does it take for the ball to hit the ground? (See the example box, use g = 10 m/s2.) 1.09 ____ s (b) How far from the base of the platform does the ball hit the ground? _____ m

(a) 1.09 (b) 5.123

A steel ball is dropped from a diving platform (with an initial velocity of zero). Use the approximate value of g = 10 m/s2. (a) What is the velocity of the ball 1.0 seconds after its release? ____ m/s (b) What is its velocity 3.8 seconds after its release? ____ m/s

(a) 10 (b) 38

A steel ball is dropped from a diving platform (with an initial velocity of zero). Use the approximate value of g = 10 m/s2. (a) Through what distance does the ball fall in the first 1.5 seconds of its flight? _____ m (b) How far does it fall in the first 4 seconds of its flight? ____ m

(a) 11.25 (b) 80

A ball is thrown upward with an initial velocity of 12 m/s. Using the approximate value of g = 10 m/s2, what are the magnitude and direction of the ball's velocity at the following times? (a) 1.00 s after it is thrown ____ m/s upward or downward (b) 2.10 s after it is thrown _____ m/s

(a) 2 m/s, upward (b) 9, downward

A ball is thrown upward with an initial velocity of 14 m/s. Using the approximate value of g = 10 m/s2, how high above the ground is the ball at the following times? (a) 1.10 s after it is thrown _____ m (b) 1.90 s after it is thrown _____ m

(a) 9.35 (b) 8.55

A ball is thrown upward with an initial velocity of 13 m/s. At what time does the ball reach the high point in its flight? (Use the approximate value of g = 10 m/s2, and remember that the velocity is equal to zero at the high point.) ______ S

1.3

What is the value of acceleration at the high point in the motion? If the velocity is zero at this point, what is the value of the acceleration? What if the acceleration is zero?

The acceleration is -10 m/s2. The gravitational acceleration is constant and does not change. That would mean that velocity is not changing. Since the instantaneous velocity is zero at the high point of the motion, it would remain zero. In other words, it would not move, and would stay suspended at the top of the motion forever.

A steel ball is dropped from a diving platform (with an initial velocity of zero). Using the approximate value of g=10 m/s2, a) What is the velocity of the ball 0.6 seconds after it's release? b) What is its velocity 1.2 seconds afters it release?

V=Vo+gt a) 6 m/s b) 12 m/s

A ball is thrown downward with an initial velocity of 12 m/s. Using the approximate value of g= 10m/s2, what is the velocity of the ball 1.0 seconds after it is released?

V=Vo+gt = 22 m/s

A large rock is dropped from the top of a high cliff. Assume that air resistance can be ignored and that the acceleration has the constant value of 10 m/s2, how fast would the rock be traveling 5 seconds after it's dropped? What is this speed in mph?

Vf=Vo+at = 50 m/s 50m/1sec X 2.237mph = 111.85 = 112mph

A ball is thrown upward with an initial velocity of 14 m/s. Using the approximate value of g=10 m/s2, what are the magnitude and direction of the balls velocity? a) 1 second after it is thrown? b) 2 seconds after it is thrown?

a) V=Vo-gt = 4 m/s Up b) -6 m/s down

A ball rolls off a platform that is 5 meters above the ground. The balls horizontal velocity as it leaves the platform is 6 m/s. a) How much time does it take for the ball to hit the ground? b) How far from the base of the platform does the ball hit the ground? Use g= 10 m/s2

a) t= √2y/g = 1.0s b) v(t)=d = 6 m

A bullet is fired horizontally with an initial velocity of 900 m/s at a target located 150 m from the riffle. a) How much time is required for the bullet to reach the target? b) Using the approximate value of g= 10 m/s2, how far does the bullet fall in time?

a) t=d/v = 0.167 s b) y=1/2 gt2 = 0.139 m = 13.9m

A ball is thrown downward with an initial velocity of 20 m/s. Using the value of 10 m/s2 for the gravitational acceleration, find a) the velocity b) the distance traveled at 1 s time intervals for the first 2 s of motion.

a) v = Vo+ at = for 1s = 30 m/s = for 2s = 40 m/s b) d = Vot + 1/2 a(t)2 = for 1s = 25m = for 2s = 60m

A lead ball and an aluminum ball, each 1 in. in diameter, are released simultaneously and allowed to fall to the ground. Due to its greater density, the lead ball has a substantially larger mass than the aluminum ball. Which of these balls, if either, has the greater acceleration due to gravity? Explain. a. Both will fall with the same acceleration, regardless of their mass. b. The aluminum ball will fall with greater acceleration because of its small density. c. The lead ball will fall with greater acceleration because of its greater mass.

a. Both will fall with the same acceleration, regardless of their mass.

A rock is dropped from the top of a diving platform into the swimming pool below. Will the distance traveled by the rock in a 0.1-second interval near the top of its flight be the same as the distance covered in a 0.1-second interval just before it hits the water? Explain. a. No, the distance traveled in the 0.1 s just before hitting the water will be greater since the rock's velocity will be greater. b. No, the distance traveled in the first 0.1 s will be greater since the rock's velocity will be smaller. c. Yes, the distance traveled for any 0.1-s interval is the same since the rock's acceleration is constant. d. Yes, the distance traveled in the 0.1 s just before hitting the water will be the same since the rock is a projectile.

a. No, the distance traveled in the 0.1 s just before hitting the water will be greater since the rock's velocity will be greater.

You toss a ball straight up in the air. At the highest point, the ball's: a. velocity is zero and the acceleration is downward. b. velocity is zero and the acceleration is upward. c. acceleration is zero but not its velocity. d. velocity and acceleration are zero.

a. velocity is zero and the acceleration is downward.

In a laboratory on Earth, all the air is pumped from a large tube. A feather and a steel ball are simultaneously released from rest inside the tube. What happens next? a. The steel ball falls and hits the bottom before the feather b. Both objects fall and hit the bottom at the same time c. Both objects float weightless inside the tube d. The feather falls and hits the bottom before the steel ball

b. Both objects fall and hit the bottom at the same time

A cannonball fired at an angle of 70° to the horizontal stays in the air longer than one fired at 45° from the same cannon. Will the 70° shot travel a greater horizontal distance than the 45° shot? Explain. a. Yes, since the cannonball fired at an angle of 70° stays in the air longer it will travel a greater horizontal distance than the cannonball fired at 45°. b. No, the cannonball fired at 70° has a larger vertical component of velocity so will have a higher ascent and will not travel as far horizontally as the cannonball fired at 45°. c. There is not enough information to determine which cannonball will travel a greater horizontal distance.

b. No, the cannonball fired at 70° has a larger vertical component of velocity so will have a higher ascent and will not travel as far horizontally as the cannonball fired at 45°.

A ball rolling rapidly along a tabletop rolls off the edge and falls to the floor. At the exact instant that the first ball rolls off the edge, a second ball is dropped from the same height. Which ball, if either, reaches the floor first? Explain. a. The rolling ball reaches the floor first because it has an initial velocity and the dropped ball does not. b. The dropped ball reaches the floor first because its velocity is only in the y-direction. c. Both balls reach the floor at the same time because they both have the same initial zero y-component of velocity.

c. Both balls reach the floor at the same time because they both have the same initial zero y-component of velocity.

A ball thrown straight upward moves initially with a decreasing upward velocity. What are the directions of the velocity and acceleration vectors during this part of the motion? a. The directions of both the velocity vector and the acceleration vector are upward. b. The direction of the velocity vector is downward and the direction of the acceleration vector is upward. c. The direction of the velocity vector is upward and the direction of the acceleration vector is downward. d. The directions of both the velocity vector and the acceleration vector are downward. (b) Does the acceleration also decrease? Explain. a. Yes, the acceleration decreases as the ball is thrown upward. b. No, the acceleration does not decrease but remains constant. c. No, the acceleration increases as the ball is thrown upward.

c. The direction of the velocity vector is upward and the direction of the acceleration vector is downward. (b) b. No, the acceleration does not decrease but remains constant.

A ball is thrown upward with an initial velocity of 20 m/s. Find its height at 1s intervals for the first 5 s of its flight.

d = Vot + 1/2 a(t)2 t= 1s = 15m t= 2s = 20m t= 3s = 15m t= 4s = 0m t= 5s = -25m

A ball is thrown upward with an initial velocity of 14 m/s. At what time does the ball reach the high point in its flight? (Use the approximate value of g = 10 m/s2 and remember that the velocity is equal to zero at the high point.)

v=v₀-gt v=0 t=v₀/g=14/10=1.4 s

A ball rolls off the table with a horizontal velocity of 4 m/s. If it takes 0.5 seconds for the ball to reach the floor, how high above the floor is the tabletop? Use g= 10 m/s2

y= 1/2 gt2 = 1.25 m