Honors Physics Two Dimensional Kinematics Test

An escalator is 17 m long. If a person stands on the "up" escalator, it takes 47 seconds to ride to the top. If a person walks up the moving escalator with a speed of 0.78 m/s relative to the escalator, how long does it take to get to the top? Answer in seconds. If a person walks down the "up" escalator with a speed of 0.78 m/s, how long does it take to reach the bottom? Answer in seconds. (TWO ANSWERS)

14.91 seconds; 40.48 seconds

A bee flies to a flower 542 m due south of its hive. The bee's speed in still air is 0.59 m/s, and there is a wind blowing toward the south at 0.23 m/s. How long will it take the bee to travel to the flower and back to the hive. Answer in seconds.

2166.54 seconds

While running at 13 mph directly towards Patrick, Lisa passes a basketball to him. Patrick is stationary when he receives the basketball, which is moving at a speed of 35 mph. How fast did Lisa throw the ball? Answer in mph.

22 mph

A small bug is flying straight downward at 5 m/s. Unknown to the bug, directly above him there is a diving bird also flying straight downward but at 8 m/s. As seen by the bird, what is the velocity of the bug?

3 m/s upward

A boat crosses a river of width 171 meters in which the current has a uniform speed of 1.51 m/s. The pilot maintains a bearing perpendicular to the river and a throttle setting to give a constant speed of 2.59 m/s relative to the water. What is the magnitude of the speed of the boat relative to a stationary shore observer? Answer in m/s. How far downstream from the initial position is the boat when it reaches the opposite shore? Answer in meters. (TWO ANSWERS)

3.00 m/s; 99.69 meters

Bob heads out into a lake at an angle of 23 degrees with respect to the shore. If his boat is capable of a speed of 3.1 m/s, how far from land will he be in 6 minutes and 51 seconds? Answer in meters

497.83 meters

The acceleration of gravity on the moon is only one-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the same speed and angle) that you would on Earth, the ball would land...

6 times as far

A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 38.1 m/s. At the same time, it has a horizontal velocity of 53.5 m/s. At what speed does the vehicle move along its descent path? At what angle with the vertical is its path? (TWO ANSWERS)

65.68 m/s; 54.54 degrees

A ship is expecting to travel to its home port 660 km due East. Before the ship starts to travel, a severe storm comes up and blows the ship 440 km due South. How far is the ship from its home port? At what angle North of East must the ship travel to reach its destination? (TWO ANSWERS)

793.22 km; 33.69 degrees

An airplane flies at airspeed (relative to the air) of 400 km/hr. The pilot wishes to fly due North (relative to the ground) but there is an 86 km/hr wind blowing southwest (direction 225 degrees). In what direction should the pilot head the plane (measured clockwise from North)? Answer in degrees.

8.74

A rock is thrown upward at 50 degrees with respect to the horizontal. As it rises, neglecting air drag, its horizontal component of velocity is...

Constant

Vector components are important in physics because they describe the ___________.

Effect of a vector in a given direction

Which of acceleration, age, speed, temperature, and velocity are vector quantities?

acceleration and velocity

Is time a vector or scalar?

scalar

Is volume a vector or scalar?

scalar

In a coordinate system, a vector is orientated at angle q with respect to the x-axis. The x component of the vector equals the vectors magnitude multiplied by which trigonometric function? (Cos, sin, tan)

cos q

You are throwing a ball for the second time. If the ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would be...

four times as much

Ignoring air resistance, the horizontal component of a projectile's acceleration...

remains a non-zero constant

Is mass a vector or scalar?

scalar

A piece of chalk is dropped by a teacher walking at a sped of 1.5 m/s. From the teacher's perspective, the chalk appears to fall...

straight down

Is acceleration a vector or scalar?

vector

Is force a vector or scalar?

vector

Is velocity a vector or scalar?

vector

A stone is thrown horizontally from the top of a tower at the same instant a ball is dropped vertically. Which object is traveling faster when it hits the level ground below?

the stone

Two cars travel towards one another. Car A travels at a speed of 30 mph to the right (the positive x direction). Car B travels at 10 mph to the left. Let vAB be the velocity of car A as seen by the driver of car B (the velocity of A relative to B). vBA is the velocity of B relative to A. vAB= ? vBA=?

vAB= 40 mph; vBA= -40 mph

As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction of 38 degrees north of west with a speed of 67 km/hr. Three hours later, it shifts due north, and its speed slows to 75 km/hr. How far from Grand Bahama is the eye 4.50 hours after it passes over the island? Answer in km.

284.43

A bee wants to fly to a flower located due North of the hive on a windy day. The wind blows from East to West at speed 2.57 m/s. The airspeed of the bee (its speed relative to the air) is 5.19 m/s. In which direction should the bee head in order to fly directly to the flower, due North relative to the ground? Answer in degrees East of North.

29.68 degrees

A camel sets out to cross the desert, which is 46 km wide in the north-south direction. The camel walks at the uniform speed 1.52 km/hr along a straight line in the direction 56.3 degrees north of East. How long will it take the camel to cross the desert? Answer in hours. Calculate the camel's eastward displacement while he crosses the desert. Answer in km. (TWO ANSWERS)

36.38 hours; 30.68 km

For the winter, a duck flies 10.0 m/s due south against a gust of wind with a speed of 2.5 m/s. What is the resultant velocity of the duck?

7.5 m/s

An ice skater skates 24.1 m southwest, then 48.2 m east, and finally 72.3 m in a direction 52.9 degrees north of east. Find the magnitude of the displacement required to bring the skater back to her starting point. Answer in meters

85.1 meters

If the x-component of B equals the magnitude of B, then...

By equals zero

On a level tabletop is a ruler and on the ruler is a tiny beetle. The beetle, relative to the ruler, is crawling to the left. But a little boy is pulling the ruler to the right, at a speed larger than the beetle's speed relative to the ruler. What can you say about the speed of the beetle relative to the table top?

It is less than the speed of the ruler

The components of a vector are __________.

Perpendicular to each other

When giving directions to your house, you tell someone to drive two miles east, then three miles north, then one mile west. What are the components of a vector that points from his house to yours? (East or West & North or South)

The east component is one mile; north component is three miles

In a school playground a child runs five meters in the positive x-direction and then 2.0 m in the negative y-direction. What expression represents the magnitude of the child's resultant displacement?

The square root of (5m)^2 + (-2m)^2

Is speed a vector or scalar?

scalar