Civil Engineering - Applied Mechanics - Discussion

Discussion Forum : Applied Mechanics - Section 1 (Q.No. 12)
12.
A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be
3t3 - 2t
3t2 + 2t
6t - 2
6t + 2
3t - 2
Answer: Option
Explanation:
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Discussion:
13 comments Page 2 of 2.

Hitesh said:   1 decade ago
x = t2(t+1).

x = t3+t2.

dx/dt = 3t2+2t.

d2x/dt2 = 6t+2.

This is the required answer of the acceleration of at the any instant of time t.

Zuber said:   1 decade ago
x = t2(t+1).

= t3+t.

dx/dt = 3t2+1.

d2x/dt2 = 6t+0.

d2x/dt2 = Acceleration.

So acceleration = 6t.

Himanshu said:   1 decade ago
How this is possible ? the double differentiation of equation is 6t+2.


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