Question

Derive graphically the equation for position-time relation for an object travelling a distance 's' in time 't' under uniform acceleration.

Imagine a rocket named Vayu-1 that is designed for a space mission. The rocket has a mass of 5,000 kg and is launched from the Earth's surface. The rocket engine produces a constant thrust of 60,000 N. The rocket accelerates vertically upward through the atmosphere. During the ascent, the rocket's engines provide thrust for the first 30 seconds. After that, the rocket continues its motion with a constant velocity due to the thrust being cut off.