Vectors & Motion (College Board AP® Physics 1: Algebra-Based): Exam Questions

A projectile is launched with an initial velocity of magnitude $M$ at an angle $\varphi$ to the horizontal.

Which of the following gives the correct expression for the time of flight of the projectile?

An aeroplane with a length of 50 m is travelling across an ocean when it passes over a small island. The island is 600 m wide.

A strong wind blows the aeroplane to its right while its engines does work, such that its velocity, $v_{res}$ is constant and points at an angle $\theta$ to the direction in which the aeroplane's nose points.

Which of the following is the correct expression for the sideways distance that the aeroplane travels from when it first passes over the island to when it completely clears the island?

A projectile is fired. The figure above shows how the vertical component of its velocity changes over time.

At what point does the projectile have its greatest vertical displacement?

A projectile is fired upwards from a canon. Its vertical displacement over time is shown in the figure above.

The same projectile is fired in the exact same way, but now a strong breeze blows in the positive horizontal direction, giving the projectile constant acceleration.

Which of the following diagrams could be a correct path for this projectile?

You may ignore resistive forces from the air.

A boat is travelling to the right down a river at constant velocity. On board, a performer throws a juggling ball directly upwards.

If the ball takes 5 seconds to return to the performer, which of the following vectors is most nearly the direction of the ball's velocity after 2 seconds?

A rock is kicked horizontally from the edge of a $150\mathrm{m}$ high cliff and lands in the water below at a distance of $90\mathrm{m}$ from the base of the cliff. Which of the following is the final horizontal velocity of the rock?

A duck takes off from rest at an angle of $67°$ from the water and accelerates in this direction at a constant rate of $12.5\mathrm{m}/{\mathrm{s}}^2$ until a resultant velocity of $25\mathrm{m}/\mathrm{s}$ is reached. Which of the following are correct for the horizontal and vertical displacements of the duck during its period of acceleration?

Two projectiles are launched simultaneously with the same initial speed but at angles ${\theta }_1=30°$ and ${\theta }_2=60°$ relative to the horizontal. Which of the following is true about their horizontal ranges?

A toy glider is launched with initial horizontal velocity $10\mathrm{m}/\mathrm{s}$ and initial vertical velocity $15\mathrm{m}/\mathrm{s}$. The glider experiences a constant acceleration of $2.0\mathrm{m}/{\mathrm{s}}^2$ in the horizontal direction due to the thrust of its propeller.

Which of the following is most nearly the distance between the highest point of the glider's path and its initial position?

An arrow is fired by an archer with an initial vertical velocity component of $v_{y0}=17.5\mathrm{m}/\mathrm{s}$.

At a time before the arrow reaches its maximum height, it reaches a velocity $\overrightarrow{v}$, which is at an angle $\theta$ to the vertical.

Which of the following expressions describes the horizontal distance covered by the arrow at this time?