Use applications of Integral from Calculus. Use the formula "v-= integral a dt" to find the velocity of Velocity V of the crate in terms of its acceleration a and time t. Then use the power formula for integration.

An arrow is shot from 7 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill? If the arrow is launched at t = 0, then write an equation describing velocity as a function of time. v(t ) = A hoist mechanism raises a crate with an acceleration (in m/s ) a = V1+0.25t, where t is the time in seconds. Find the displacement of the crate as a function of time if v=0 m/s and s = 5 m fort = 0 s. The displacement of the crate is given by s = (Type an expression using t as the variable.)