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Question : 92 of 160
Marks:
+1,
-0
Solution:
The displacement of a body is given by,
x=3[cos‌2‌π‌t+‌]m The velocity is given by,
v‌‌=‌ ‌‌=‌[3[cos‌2‌π‌t+‌]] ‌‌=−3‌sin(2πt+‌)(2π) ‌‌=−6π‌sin(2πt+‌) The acceleration is given by,
a=‌ =‌[−6π‌sin(2πt+‌)] =−12π2‌cos(2πt+‌)‌‌‌‌‌⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(I) Substitute 2 s for
t in equation
a‌‌=−12π2‌cos(2π(2)+‌) ‌‌=−12π2‌cos(4π+‌) ‌‌=−12π2‌cos(‌) ‌‌=−6√2π2m∕s2
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