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Q.

A motor car is travelling on a horizontal circular road of radius 600m. Its speed is increasing at the rate of 2.0 m $s^{- 2}$ . The total acceleration of it when its speed is 30 m $s^{- 1}$

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a

$2.5 {ms}^{- 2}$

b

$2 {ms}^{- 2}$

c

$1.5 {ms}^{- 2}$

d

$3.5 {ms}^{- 2}$

answer is D.

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Detailed Solution

$a = \sqrt{a_{c}^{2} + a_{t}^{2}} = \sqrt{({(\frac{V^{2}}{r})}^{2} + a_{t}^{2})}$

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A motor car is travelling on a horizontal circular road of radius 600m. Its speed is increasing at the rate of 2.0 ms−2 . The total acceleration of it when its speed is 30 m s−1