Kinematics

Which of the following describes the rate of change of velocity?

An object is dropped from a height of 20 meters. Assuming free fall with $g = 9.8 \text{ m/s}^2$, what is its approximate velocity just before it hits the ground?

A ball is thrown vertically upwards with an initial velocity of 30 m/s. What is the time it takes to reach its maximum height, assuming $g = 10 \text{ m/s}^2$?

What physical quantity is represented by the slope of a position-time graph?

A car moves with the velocity described by the graph. What is the displacement of a car that travels with a constant velocity of 15 m/s for 10 seconds?

The velocity of an object changes non-linearly with time. Which of the following methods could be used to find instantaneous acceleration at a particular time?

An object moves with constant acceleration. If its initial velocity is 5 m/s and it travels a distance of 20 meters in 2 seconds, what is its acceleration?

Two cars start from rest and accelerate at different rates. Car A accelerates at 2 m/s², and Car B accelerates at 4 m/s². If both cars travel the same distance, and Car A takes 4 seconds to cover that distance, how long does it take Car B to cover the same distance?

A projectile is launched horizontally from a height of 45 meters with an initial velocity of 20 m/s. What is the horizontal range of the projectile, assuming $g = 10 \text{ m/s}^2$?

A projectile is launched from the ground towards a wall 20m away. The projectile needs to hit a target at a height of 10m on the wall. Assuming the launch speed is fixed at 15 m/s, at what angle should the projectile be launched?