The position of the partical moving along a straight line is given by x=2-5t +t³ find the acceleration of the partical at t=2s
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x = position
v = velocity
a = acceleration
x = 2 - 5t + t^3
by differenciation,
v = -5 + 3t^2
by differenciation,
a = 6 t
now,
t = 2 sec
a = 6 t
= 6 * 2
= 12 m/sec
therefore, the acceleration is 12 m/sec.
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