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.