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A particle starts from rest and accelerate to velocity of 5m/s in 30s it maintains this velocity for 20s and decelerates to rest in a further 15s

I. Draw a velocity time graph of this motion
ii. Calculate the initial acceleration of the particle
iii. Calculate the distance covered

initial slope is 1/6

horizontal for 20s
final slope is -1/3

Did you know?

Did you know that the motion of a particle can be represented by a velocity-time graph? In this case, the particle starts from rest and accelerates to a velocity of 5 m/s in 30 seconds. It then maintains this velocity for 20 seconds before decelerating to rest in a further 15 seconds. By drawing a velocity-time graph, we can visually see the changes in velocity over time. Furthermore, by using the information provided, we can calculate the initial acceleration of the particle. Finally, by analyzing the velocity-time graph, we can determine the total distance covered by the particle during its motion. This example highlights the importance of using graphs and mathematical calculations to study and understand the motion of particles.