The position of a perticle moving in a straight line is given by y=3t³+t²+5
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Explanation:
x(t) =4t
3
− 3t
2
+ 4t + 5
On differentiating with respect to time we get the velocity of the particle as a function of time,
v(t) =
dt
dx
= 12t
2
− 6t + 4
Again differentiating with respect to time to get the acceleration of the particle as a function of time,
a(t) =
dt
dv
= 24t − 6
∴ at t = 1,
a = 24(1) − 6 = 18 m/s
2
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