(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello, I am currently revising for an exam later in the month, and was wondering if anyone could check my answers to this past examination question.

Thanks in advance.

The Displacement of a particle is given by x=20/3t^{3}-23/2t^{2}+6t+5 metres at time t. Determine:

a) the velocity and acceleration when t=0 seconds,

b) the velocity and acceleration when t=3 seconds,

c) the value of t when the body is at rest,

d) the value of t when the acceleration is 37 ms^{-2}

e) the distance travelled between t=2 seconds and t=3 seconds.

2. Relevant equations

d/dt(k.x^{t})=k.tx^{t-1}

3. The attempt at a solution

I got answers as follows:

a) v=6 a=-23

b) v=105 a=97

c) 24.1 and 21.9

d) 1.5

e) 474

Any help with checking these answers will be greatly appreciated.

Thanks in advance

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# Homework Help: Kinematics of a Particle

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