The acceleration ‘𝑎’ in 𝑚/𝑠 2 of a particle is given by 𝑎 = 3𝑡 2 + 2𝑡 + 2 where 𝑡 is the time. If the particle starts out with a velocity 𝑢 = 2𝑚/𝑠 at 𝑡 = 0, then the velocity at the end of 2 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 is

April 15, 2022

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Physics Problems

Question : The acceleration ‘𝑎’ in 𝑚/𝑠 2 of a particle is given by 𝑎 = 3𝑡 2 + 2𝑡 + 2 where 𝑡 is the time. If the particle starts out with a velocity 𝑢 = 2𝑚/𝑠 at 𝑡 = 0, then the velocity at the end of 2 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 is

(A) 12 𝑚/𝑠

(B) 18 𝑚/𝑠

(D) 36 m/s

Answer : option (B)

Solution :

The acceleration ‘𝑎’ in 𝑚/𝑠 2 of a particle is given by 𝑎 = 3𝑡 2 + 2𝑡 + 2 where 𝑡 is the time. If the particle starts out with a velocity 𝑢 = 2𝑚/𝑠 at 𝑡 = 0, then the velocity at the end of 2 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 is