The velocity of a body varies as, v = 2t+5t^2. What is the acceleration at t = 10?

Category: QuestionsThe velocity of a body varies as, v = 2t+5t^2. What is the acceleration at t = 10?
Editor">Editor Staff asked 1 year ago

The velocity of a body varies as, v = 2t+5t^2. What is the acceleration at t = 10?
 
(a) 102
 
(b) 100
 
(c) -100
 
(d) 50
 
I had been asked this question during an internship interview.
 
Question is taken from Motion in a Straight Line topic in portion Motion in a Straight Line of Physics – Class 11
Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 1 year ago

Right answer is (a) 102
 
The explanation: Acceleration = dv/dt. To find the acceleration, we can differentiate the velocity equation with respect to time. a = 2 + 10t. On putting, t = 10, we get a = 102.


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