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A car starts from rest with an acceleration of 6 m/s2 which decreases to zero linearly with time, in 10 seconds, after which the car continues at a constant speed. Find the time required for the car to travel 400 m from the start.

Asked by Arushi Juyal 12th November 2017, 3:07 PM
Answered by Expert
Answer:
Acceleration decreases from initial value 6 m/s2 to zero in 10 seconds. Hence acceleration is function of time.
From the definition of acceleration we can write 
From the above relation, we can get the velocity after 10 second is 30 m/s
 
Distance travelled for the time 10 second is given by 
 
So initial 200 m travelled in 10 seconds and the next 200 m is travelled with constant speed 30 m/s. 
 
Hence total time is 10+6.66 = 16.66 s
Answered by Expert 15th November 2017, 1:59 PM
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