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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.
Define kinetic energy and provide its formula.
A cyclist travels along a straight path with a constant acceleration of 2 m/s². If the cyclist's initial velocity is 5 m/s, what is the cyclist's velocity after 4 seconds? Also, calculate the total distance covered in this time.
How will the equations of motion for an object moving with a uniform velocity change?
A car starts from rest and moves along the x-axis with constant acceleration 5 m s⁻² for 8 seconds. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from the rest?
An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at a height 100 m. What is the difference in their heights after 2 s if both the objects drop with same accelerations? How does the difference in heights vary with time?
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