Motion (DP IB Physics: HL)

The projectile path taken by an object with air resistance is a shorter horizontal distance to that without air resistance. 

The effects of air resistance could be decreased by a projectile with a

The graph shows the variation with time of the velocity of a car of fixed mass.

 What can be deduced from the graph?

An object of mass 5.6 g is falling vertically at a constant speed in air. 

What is the approximate magnitude of the drag force acting on the object? 

A stone is released from a hot air balloon moving upwards with a uniform velocity of 25 m s^–1. 

If the hot air balloon is 30 m high when the stone was dropped, what is its height when the stone hits the ground?

An object moves through one compete circle from point W to X to Y to Z and finally to W again.

The distance between X and Z is 6 km. 

Which row is correct about the displacement and distance of the object? 

The graph shows the variation of acceleration a of an object with time t.

Which graph shows how the velocity v of the object varies with t?

A student throws a stone with velocity 3 m s^–1 at an angle θ to the vertical from the surface of a lake. Air resistance can be ignored. The acceleration due to gravity is g.

What is the angle θ if the stone hits the surface of the lake 15 m from the student after 10 s?

You may use the fact that sin 30 = 0.5.

A particle moving in a straight line has the displacement–time graph shown.

Which row is correct about the average speed and average velocity of the particle?

An object is released from rest near the surface of the Earth and allowed to fall freely. 

Which of the following correctly describes the speed and acceleration before the object reaches terminal velocity?  

A ball starts from rest and moves horizontally. Five positions of the ball are shown at time intervals of 0.50 ms. The horizontal distance between X, the initial position, and Y, the final position, is 0.060 m.

What is the average acceleration of the ball between X and Y?

The graph shows the results obtained by a student who designed an experiment to determine the value of the acceleration due to free fall, g, using a falling ball bearing and a pair of light gates. The value obtained is inaccurate. 

Which of the following could have contributed to the inaccurate value of g obtained by the student? 

An object is released from a stationary hot air balloon at height s above the ground. Air resistance is negligible. 

An identical object is released at the same height above the ground from another balloon that is rising at a constant speed.

Which of the following does not increase for the object released from the rising balloon? 

An object is projected in a vacuum chamber and in a playing field (where air resistance is taken into account). Otherwise, all initial conditions are equivalent. 

Which graph shows correct trajectory for the object in the vacuum chamber and in the playing field? 

A projectile is fired from level ground with speed v at an angle θ to the ground. Ignoring air resistance, which of the following is a correct expression for the maximum height reached by the projectile?

An object is dropped from height and falls through air of uniform density. 

Which of the following is the correct acceleration-time graph for the object? 

An object is thrown vertically upwards from the top of a cliff. It then falls directly below into the sea. 

The graph shows the vertical component of velocity v varies with time t.

How high is the cliff-top from the surface of the sea? 

Baseball player Y throws a ball to baseball player X as shown. 

What is the direction of the net force on the ball at the instant shown, if air resistance is not neglected? 

On a clear day, in the absence of air resistance, a cannon ball is fired at an angle θ to the ground with an initial velocity u. Its horizontal range is s. Which of the following statements is incorrect? 

A body of mass m is projected at an angle φ to the horizontal in a gravitational field. Its trajectory is parabolic and follows the path PQRST. These points are the position of the body along its trajectory at equal time intervals, with T being the object's maximum height. 

The displacements PQ, QR, RS and ST are:

A small uniform bob is attached to a simple pendulum, and set into motion from some angular displacement. When the bob passes through the lowest point of its motion, the pendulum is cut. If, at this instant, the bob is moving with a speed of v m s^–1, at a height h above ground, how far away does the bob land from a position measured directly under the point at which the pendulum is cut?