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Question

A car is moving on a horizontal circular road of radius 100 m with a uniform speed 10 m/s . It suddenly accelerates at 1 m/s2. The net acceleration of the car is:

A
1 m/s2
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B
2 m/s2
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C
2 m/s2
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D
5 m/s2
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Solution

The correct option is B 2 m/s2
When the car was moving with uniform speed, it has a centripetal acceleration.
Now, the car accelerates at 1 m/s2.
So, the net acceleration of the car is
a=(v2r)2+a2=(102100)2+12=1+1=2 m/s2

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