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## anonymous 3 years ago Given an object in a straight line with a(t)=√t ft/sec^2 and v(0)=-18 for t=0 to t=16, find v(t) and the displacement and distance of the object.

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1. phi

this sounds like an integration problem

2. anonymous

It is

3. anonymous

What's the thought process of the problem?

4. phi

velocity is $$\frac{dx}{dt}$$ change in distance over change in time acceleration is $$\frac{dv}{dt} = \frac{d^2x}{dt^2}$$ the second derivative of x with respect to time $v= \int\limits_{0}^{16} \frac{dv}{dt} dt= \int\limits_{0}^{16} t^{\frac{1}{2}} dt$

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