A particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the acceleration?

Category: QuestionsA particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the acceleration?
Editor">Editor Staff asked 11 months ago

A particle moving in a straight line with uniform acceleration has a velocity 10 cm/sec and 8 seconds later has a velocity 54 cm/sec. What will be the acceleration?
 
(a) 1 cm/sec^2
 
(b) 2 cm/sec^2
 
(c) 3 cm/sec^2
 
(d) 4 cm/sec^2
 
This question was posed to me during an online interview.
 
The query is from Calculus Application topic in section Application of Calculus of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (c) 3 cm/sec^2
 
For explanation: Let, the particle moving with a uniform acceleration of f cm/sec^2.
 
By question initial velocity of the particle is u = 10 cm/sec and its velocity after 8 seconds = v = 34 cm/sec.
 
Thus, using the formula v = u + ft we get
 
34 = 10 + f*8
 
Or 8f = 24
 
Or f = 3
 
Therefore, the required acceleration of the particle is 3 cm/sec^2.