a motorcyclist riding motorcycle a is travelling at a speed of 20 metre per second applies the brakes and stop the motorcycle in 10 second another motorcyclist of motorcycle be who is travelling at a speed of 5 metre per second applies the brakes and stop the motorcycle in 20 second plot speed time graph for the two motorcycle which of the two motorcycle travel farther before it comes to stop?
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Answer:
Hence, motorcyclist a travelled more distance than motorcyclist b
Explanation:
• First we will take motorcyclist A
Initial velocity = 20
Final velocity = 0
Time = 10
Acceleration = final velocity - initial velocity/time
A = 0-20/10
A = -2m/s ^2
Now distance travelled in 10 seconds =
S = ut+1/2at^2
S = 20x10+1/2x-2x100
S = 100m
• Now we will take motorcyclist B
Initial velocity = 5
Final velocity = 0
Time = 20
Acceleration = final velocity-initial velocity/time
A = 0-5/20
A = -1/4
Now distance travelled in 20 seconds =
S = ut+1/2at^2
S = 5x20+1/2x-1/4x400
S = 50m
Clearly, distance covered by a > distance covered by b.
Hence, motorcyclist a travelled more distance than motorcyclist b
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