## 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.

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 $v= \int\limits_{0}^{16} \frac{dv}{dt} dt= \int\limits_{0}^{16} t^{\frac{1}{2}} dt$