Kinematics

A train initially moving at 20 m/s decelerates at a rate of 1 m/s² until it reaches a velocity of 10 m/s. It then continues at this constant velocity. What total distance does the train cover in 30 seconds, considering both deceleration and constant velocity phases?

A projectile is launched with an initial velocity of 25 m/s at an angle of 30° above the horizontal. What is the range of the projectile, assuming no air resistance and $g = 9.8 \text{ m/s}^2$?

A projectile is fired horizontally from the top of a cliff of height $h$ with an initial speed of $v_0$. If air resistance is negligible, the time it takes for the projectile to hit the ground depends on

A car travels at a constant speed of 20 m/s for 10 seconds. How far does it travel?

An acceleration-time graph shows a constant positive value. How will the velocity change over time?

A velocity-time graph shows a curve with increasing slope. What does this indicate about the object's acceleration?

An object starts from rest and accelerates uniformly at 2 m/s² for 3 seconds. What is its final velocity?

A car accelerates from an initial velocity of 5 m/s to a final velocity of 15 m/s over a distance of 50 m. What is the acceleration of the car?

The area under a velocity-time graph represents:

A position-time graph shows a straight line with a positive slope. What does this indicate about the object's motion?