NEET Physics — Kinematics

A man walking at \( 4 \, \text{m/s} \) throws a ball forward at \( 12 \, \text{m/s} \) relative to himself. If the ball lands \( 10 \, \text{m} \) ahead of the throw point, how long was it in the air? (Take \( g = 10 \, \text{m/s}^2 \))

A rocket accelerates from rest at \( 4 \, \text{m/s}^2 \) for \( 6 \, \text{s} \), then moves at constant speed for \( 5 \, \text{s} \). What is the total distance covered?

A car accelerates from rest at \( 2.5 \, \text{m/s}^2 \) until it reaches \( 25 \, \text{m/s} \), then immediately decelerates at \( 5 \, \text{m/s}^2 \) to rest. What is the total time taken?

A car accelerates from rest at \( 3 \, \text{m/s}^2 \) for \( 4 \, \text{s} \), then moves at constant speed for \( 6 \, \text{s} \), and decelerates to rest at \( 2 \, \text{m/s}^2 \). What is the total distance?

A ball is thrown upwards at \( 45 \, \text{m/s} \) from a \( 30 \, \text{m} \) tower. What is the time taken to reach a point \( 15 \, \text{m} \) above the ground? (Take \( g = 10 \, \text{m/s}^2 \))