Velocity and Acceleration

**lisa1984wilson** · May 28th 2009, 05:10 AM

a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

I need to know how to start...something with the displacement

b.find t when the acceleration is 0

**mathaddict** · May 28th 2009, 05:24 AM

Originally Posted by lisa1984wilson

a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

I need to know how to start...something with the displacement

b.find t when the acceleration is 0

You are given s(t) . Differentiate s(t) to find v(t) and differentiate v(t) to find a(t).

**lisa1984wilson** · May 28th 2009, 05:34 AM

Velocity I got 10t^4-30t+1

Acceleration I got 40t^3-30

now do I have to plug the 0 in these answers or the original equation for part b. Thanks I appreciate your help!

**skeeter** · May 28th 2009, 05:57 AM

Originally Posted by lisa1984wilson

a. I need to find the v(t) and a(t) of s(t)=4t^5/2 - 15t^2 +t -3

I need to know how to start...something with the displacement

b.find t when the acceleration is 0

is $s(t) = 4t^{\frac{5}{2}} - 15t^2 + t - 3$

or is it ...

$<br /> s(t) = \frac{4t^5}{2} - 15t^2 + t - 3<br />$

???

**lisa1984wilson** · May 28th 2009, 08:16 AM

its the first one

**skeeter** · May 28th 2009, 11:37 AM

Originally Posted by lisa1984wilson

its the first one

Velocity I got 10t^4-30t+1

Acceleration I got 40t^3-30

then your derivative, v(t) = s'(t), is incorrect ... and, as a result, a(t) is also wrong.

velocity should be ...

$<br /> v(t) = 10t^{\frac{3}{2}} - 30t + 1<br />$

Thread: Velocity and Acceleration

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