An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by 𝑑𝑣 𝑑𝑡 = −2.5√𝑣 where 𝑣 is the instantaneous speed. The time taken by the object, to come to rest, would be

April 14, 2022

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Physics Problems

Question : An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by 𝑑𝑣 𝑑𝑡 = −2.5√𝑣 where 𝑣 is the instantaneous speed. The time taken by the object, to come to rest, would be

(A) 2 s

(B) 4 s

(D) 1s

Answer : option (A)

Solution :

An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by 𝑑𝑣 𝑑𝑡 = −2.5√𝑣 where 𝑣 is the instantaneous speed. The time taken by the object, to come to rest, would be