Exam 3: Kinematics in Two Dimensions

At time t = 0 s, a puck is sliding on a horizontal table with a velocity 3.60 m/s, 35.0° above the +x axis. As the puck slides, a constant acceleration acts on it that has the following components: a_x = -0.360 m/s² and a_y = -0.980 m/s². What is the velocity of the puck at time t = 1.50 s?

A football is kicked with a speed of 18 m/s at an angle of 65° to the horizontal. -What are the respective horizontal and vertical components of the initial velocity of the football?

A tennis ball is thrown upward at an angle from point A. It follows a parabolic trajectory and hits the ground at point D. At the instant shown, the ball is at point B. Point C represents the highest -At which point is the velocity vector changing most rapidly with time?

A man at point A directs his rowboat due north toward point B, straight across a river of width 100 m. The river current is due east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. -What is the speed of the river?

An arrow is shot horizontally from a height of 4.9 m above the ground. The initial speed of the arrow is 45 m/s. Neglecting friction, how long will it take the arrow to hit the ground?

A car travels due east at 22 m/s. It makes a turn due south and continues to travel at 22 m/s. What is the change in velocity of the car?

During football practice, a football is kicked with a speed of 22 m/s at an angle of 60.0° relative to the positive x direction. At that instant, an observer rides past the football in a car that moves with a constant speed of 11 m/s in the positive x direction. -Complete the following statement: According to the observer in the car, the ball will

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s, respectively. -What is the speed of the projectile when it is at the highest point in its trajectory?

During football practice, a football is kicked with a speed of 22 m/s at an angle of 60.0° relative to the positive x direction. At that instant, an observer rides past the football in a car that moves with a constant speed of 11 m/s in the positive x direction. -Determine the initial velocity of the ball relative to the observer in the car.

A projectile is fired horizontally with an initial speed of 50.0 m/s. Neglect air resistance. -What is the speed of the projectile 3.00 s after it is fired?

Two cars A and B approach each other at an intersection. Car A is traveling south at 20 m/s, while car B is traveling east at 17 m/s. What is the velocity of car A as described by the passengers in car B?

A projectile is fired at an angle of 55.0° above the horizontal with an initial speed of 35.0 m/s. -How long does it take the projectile to reach the highest point in its trajectory?

A car travels along a highway with a velocity of 24 m/s, west. The car exits the highway; and 4.0 s later, its instantaneous velocity is 16 m/s, 45° north of west. What is the magnitude of the average acceleration of the car during the four-second interval?

During a one-hour trip, a small boat travels 80.0 km north and then travels 60.0 km east. -What is the boat's displacement for the one-hour trip?

A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later. Determine the distance the ball was thrown.

Two cars approach each other on a straight and level road. Car A is traveling at 75 km/h, due north and car B is traveling at 45 km/h, due south. Both velocities are measured relative to the ground. -What is the velocity of car A relative to an observer in car B?

A ferry can travel at an optimal speed of 8 km/h in still water measured relative to the shore. What is the optimal speed of the ferry, relative to the shore, if it moves perpendicular to a 6 km/h current?

A physics student standing on the edge of a cliff throws a stone vertically downward with an initial speed of 10.0 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 30.0 m/s. If the physics student were to throw the rock horizontally outward from the cliff instead, with the same initial speed of 10.0 m/s, what is the magnitude of the velocity of the stone just before it hits the ground?

A bicyclist is riding at a constant speed along a straight-line path. The rider throws a ball straight up to a height a few meters above her head. Ignoring air resistance, where will the ball land?

A rock is kicked horizontally at a speed of 15 m/s from the edge of a cliff. The rock strikes the ground 65 m from the foot of the cliff of height H as suggested in the figure, which is not drawn to scale. Neglect air resistance. -What is the approximate value of H, the height of the cliff?