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Derive graphically the equation for position-time relation for an object travelling a distance 's' in time 't' under uniform acceleration.
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.
A car accelerates uniformly from rest to a speed of 30 m/s in 10 seconds. Draw the velocity-time graph for this motion and calculate the acceleration of the car.
If the car continues to travel at a constant speed for an additional 20 seconds, calculate the total distance covered during the entire motion.
Explain how the distance-time graph for uniform motion differs from that of uniformly accelerated motion.
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