A body starting from rest, accelerates at a constant rate a 𝑚𝑠 2 for some time after which it decelerates at a constant rate 𝑏 𝑚/𝑠 2 to come to rest finally. If the total time elapsed is 𝑡 𝑠𝑒𝑐, the maximum velocity attained by the body is given by

April 15, 2022

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Physics Problems

Question : A body starting from rest, accelerates at a constant rate a 𝑚𝑠 2 for some time after which it decelerates at a constant rate 𝑏 𝑚/𝑠 2 to come to rest finally. If the total time elapsed is 𝑡 𝑠𝑒𝑐, the maximum velocity attained by the body is given by

(A) $\dfrac{ab}{a+b}tm/s$

(B) $\dfrac{ab}{a-b}tm/s$

(D) $\dfrac{2ab}{a-b}tm/s$

Answer : option (A)

Solution :

A body starting from rest, accelerates at a constant rate a 𝑚𝑠 2 for some time after which it decelerates at a constant rate 𝑏 𝑚/𝑠 2 to come to rest finally. If the total time elapsed is 𝑡 𝑠𝑒𝑐, the maximum velocity attained by the body is given by