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s4orce

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**1. A particle is moving along a straight line such that its acceleration is defined as a=(4s^2)m/s^2, where s is in meters. If v=-100m/s when s=10m and t=0, determine the particles velocity as a function of position.**

**2. V=ds/dt a=dv/dt**

**3. V=ds/dt a=dv/dt 1/dt=ads*vdv**

Integral 100 to s 4s^2ds=Integral -100 to v vdv

Integral 4s^2=4s^3/3

Integral 100 to s 4s^2ds=Integral -100 to v vdv

Integral 4s^2=4s^3/3

What do I do now, the answer is 16.89 ft. but I don't know how-to get that from the derivation. Need Help Thanks!