Unit 1: Kinematics

Which of the following lists contains only vector quantities?

A robot on a straight track moves +5.0 m, then −8.0 m, then +2.0 m. What are the robot's displacement and the total distance it travels?

A runner jogs along a straight path in two legs, as shown in the table. What is the runner's average velocity for the whole 70 s?

A ball moving at 6.0 m/s to the right hits a wall and rebounds at 4.0 m/s to the left. The ball touches the wall for 0.050 s. What is the ball's average acceleration while it touches the wall?

The graph shows the velocity of a cart moving along a straight track. What is the cart's displacement from t = 0 to t = 12 s?

The graph shows the velocity of a toy car on a straight track from t = 0 to t = 6.0 s. Which statement about this interval is supported by the graph?

The graph shows position against time for two carts, A and B, moving along the same straight track. Which statement is true at t = 6 s?

The graph shows the position of a sled moving along a straight path from t = 0 to t = 5 s. Which statement describes the sled's motion during this interval?

A stone dropped from rest from height h takes time t to reach the ground. Air resistance is negligible. How long does a stone dropped from rest from height 2h take?

A car traveling at speed v brakes with constant deceleration and stops in a distance d. With the same deceleration, what stopping distance does the car need when it travels at 3v?

A bicycle moving at speed v₀ slows with constant acceleration and stops after traveling a distance d. What is the magnitude of its acceleration?

A bicycle moving at speed v₀ slows with constant acceleration and stops after traveling a distance d. How long does it take to stop?

A ball is thrown straight up and air resistance is negligible. Which statement describes the ball at the highest point of its flight?

A ball is thrown straight up from the ground with speed v₀. Air resistance is negligible. What is the greatest height the ball reaches?

The graph shows the position of a remote-control car on a straight track. Which description of the car's velocity is supported by the graph?

A cart on a straight track has a velocity of +4.0 m/s at t = 0. The graph shows its acceleration from t = 0 to t = 9 s. What is the cart's velocity at t = 9 s?

Cars P and Q leave the same starting line at t = 0 and travel in the same direction. The graph shows their velocities. Which statement is true at t = 6 s?

At one instant an object's velocity is negative and its acceleration is positive. Which statement describes its motion at that instant?

A car drives around a curve at a constant speed of 15 m/s. Is the car accelerating?

A train moves east at 20.0 m/s relative to the ground. A passenger walks toward the back of the train at 1.5 m/s relative to the train. What is the passenger's velocity relative to the ground?

Car A travels east at 25 m/s and car B travels west at 18 m/s along the same straight road. What is the velocity of car B as measured by the driver of car A?

A passenger on a train moving east at a constant 30 m/s drops a ball. A person standing on the ground watches. Air resistance is negligible. Which statement about the ball's acceleration while it falls is correct?

A passenger on a train moving east at a constant velocity drops a ball. A person standing on the ground watches. Air resistance is negligible. Which describes the path of the ball seen by each observer?

A ball leaves a bat at 20 m/s at 30° above the horizontal. What are the horizontal and vertical components of its velocity?

A hiker walks 30 m east and then 40 m north. What is the hiker's displacement from the starting point?

A marble rolls off a horizontal table and lands on the floor. It is then rolled off the same table with twice the speed. Air resistance is negligible. How do its time in the air and its landing distance from the table change?

A ball rolls off a horizontal table at speed v and lands a horizontal distance D from the table. The ball then rolls off a table four times as high at the same speed v. Air resistance is negligible. How far from the table does it land?

A stone is thrown horizontally at 8.0 m/s from the top of a cliff 20 m above level ground, as shown. Air resistance is negligible. How far from the base of the cliff does the stone land?

A ball is kicked at an angle above the horizontal across level ground. Air resistance is negligible. Which statement describes the ball at the highest point of its path?

Two identical balls are launched from level ground with the same speed, one at 30° and one at 60° above the horizontal. Air resistance is negligible. How do the two flights compare?

From the same height above level ground, ball A is dropped from rest at the same instant that ball B is thrown horizontally. Air resistance is negligible. How do their landings compare?

A ball is launched from level ground with speed v₀ at an angle θ above the horizontal. Air resistance is negligible. How long is the ball in the air before it lands on the ground?

A ball is kicked from level ground at 15 m/s at 40° above the horizontal. Air resistance is negligible. What is the greatest height the ball reaches?

A ball is thrown horizontally with speed v₀ from a height h above level ground. Air resistance is negligible. How far from the launch point, measured horizontally, does it land?