Physics C: Mechanics

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An object starts from rest and moves along a straight track. For the first 8.0 s of the object's motion, the acceleration is modeled by a(t)=βt2a(t)=\beta t^2⁠, where β=364 m/s4\beta=\frac{3}{64}\ \text{m/s}^4⁠. What is the object's speed at t=8.0 st=8.0\ \text{s}⁠?

grind5.