1-D and 2-D kinematics, projectile motion, relative velocity.
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Q1 · Motion in a Straight Line and Plane · EASY
A stone is dropped from the top of a tower. It reaches the ground in 4 seconds. What is the height of the tower? (Take g = 10 m/s²)
Q2 · Motion in a Straight Line and Plane · HARD
Two cars A and B are moving with velocities 30 m/s and 20 m/s respectively in the same direction. When car A is 50 m behind car B, it starts decelerating at 1 m/s². After how much time will car A catch up with car B?
Q3 · Motion in a Straight Line and Plane · MEDIUM
A projectile is fired at an angle of 30° with the horizontal with velocity 20 m/s. What is the maximum height reached? (Take g = 10 m/s²)
Q4 · Motion in a Straight Line and Plane · EASY
A body moving with uniform acceleration has a velocity of 10 m/s after 5 seconds and 20 m/s after 10 seconds. What is its acceleration?