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The distance S metres moved by a body in t seconds is given ...

The distance S metres moved by a body in t seconds is given by S=5t3192t2+6t4. Calculate the acceleration of the body after 2 seconds

A.

19 ms2

B.

21 ms2

C.

41 ms2

D.

31 ms2

Correct answer is C

S=5t3192t2+6t4

v(t)=dSdt=15t219t+6

a(t)=dvdt=30t19

∴a(2)=30(2)-19=60-19=41 ms2