Kinematics

Which of the following best describes the relationship between different representations of motion (diagrams, equations, and narratives)?

A student describes the motion of a ball as follows: 'The ball starts from rest and rolls down a ramp, increasing its speed steadily.' Which physical scenario best matches this narrative?

A car is traveling at a constant velocity of 20 m/s. According to the position vs. time graph, what is the velocity of the car at any point?

A ball is thrown vertically upward from an initial height of 2 meters with an initial velocity of 15 m/s. What is the height of the ball after 2 seconds, assuming $g = 10 m/s^2$?

A car accelerates from rest with a constant acceleration. If it reaches a velocity of 20 m/s after traveling 50 meters, what is its acceleration, assuming constant acceleration?

A ball is thrown upwards with an initial velocity of 15 m/s. What is the maximum height reached by the ball, assuming $g = 10 m/s^2$?

An object starts with an initial velocity of 5 m/s and accelerates at a constant rate of 2 m/s² for 3 seconds. What is its final velocity?

A rocket starts from rest and accelerates upward at a rate of 5 m/s². After what time will the rocket be at a height of 100 meters?

A rock falls from a cliff. If it takes 3 seconds to hit the ground, what is the height of the cliff, assuming $g = 10 m/s^2$ and neglecting air resistance?

A car moves with a constant acceleration. Which kinematic equation is best suited to find the final velocity ($v_x$) if you know the initial velocity ($v_{x0}$), acceleration ($a_x$), and time ($t$)?