Kinematics

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

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 ($t$)?

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?

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 car accelerates from 10 m/s to 30 m/s with a constant acceleration of 4 m/s². How long does it take for the car to reach this final speed?

Two cars start at the same position. Car A has an initial velocity of 10 m/s and an acceleration of 2 m/s². Car B has an initial velocity of 0 m/s and an acceleration of 4 m/s². At what time do the cars have the same velocity?

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 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 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 $g = 10 m/s^2$?