Linear Kinematics: Displacement and Velocity

A projectile is launched at an angle. Which of the following is the only force that affects its vertical motion?

How does doubling back affect the calculation of distance versus displacement?

If a projectile is launched horizontally, what is its vertical velocity at the peak of its trajectory?

A ball is thrown upwards. Considering only gravity, which of the following statements accurately describes its acceleration?

During projectile motion, which quantity remains constant, assuming negligible air resistance and a uniform gravitational field?

An object undergoes constant acceleration. Which of the following kinematic equations would be most useful for finding the displacement if you know the initial velocity, final velocity, and time?

Which of the following is a scalar quantity that describes the total path traveled by an object?

An object moves with non-constant acceleration. To determine its instantaneous acceleration at a specific time, which method is most appropriate?

A projectile is launched with an initial velocity $v_0$ at an angle $\theta$ with respect to the horizontal. What is the formula for the range (horizontal distance) of the projectile, assuming level ground and neglecting air resistance?

What is the physical interpretation of the area under a velocity-time graph?

If the velocity of an object is described by the function $v(t) = 3t^2 + 2t + 1$, what is the acceleration of the object at $t = 2$ seconds?

In numerical differentiation, which method provides a more accurate approximation of the derivative at a point?

What does a negative slope on a displacement-time graph indicate?

Which of the following is an example of a situation where you primarily need to consider displacement rather than distance?

A car's velocity increases uniformly from 10 m/s to 20 m/s in 5 seconds. What is the car's average acceleration?

What is the relationship between instantaneous velocity and average velocity?

You are given a displacement-time graph that curves upwards. What does this indicate about the object's velocity?

If a projectile is launched at an angle of 30 degrees with an initial velocity of 20 m/s, what is the initial vertical component of its velocity?

Considering the factors that affect the range of a projectile, what launch angle (ideally) results in the maximum range, assuming level ground and negligible air resistance?

A juggler throws a ball straight up in the air. If the ball reaches a maximum height of 5 meters, what was its initial velocity (assuming no air resistance and $g = 9.8 m/s^2$)?