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

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The query is from Calculus Application topic in section Application of Calculus of Mathematics – Class 12

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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.