A ball is dropped from a state of rest at time t = 0. The distance traveled after t seconds is s(t) = 16t2 ft. How far does the ball travel during the time interval [4, 4.5] ? Delta s = ft Compute the average velocity over [4, 4.5] . Delta s / Delta t = ft / sec Compute the average velocity over time intervals [4, 4.01] , [4, 4.001] , [4, 4.0001] , [3.9999, 4] , [3.999, 4] , [3.99, 4] . Use this to estimate the object's instantaneous velocity at t = 4 . V(4) = ft / sec
Show transcribed image text A ball is dropped from a state of rest at time t = 0. The distance traveled after t seconds is s(t) = 16t2 ft. How far does the ball travel during the time interval [4, 4.5] ? Delta s = ft Compute the average velocity over [4, 4.5] . Delta s / Delta t = ft / sec Compute the average velocity over time intervals [4, 4.01] , [4, 4.001] , [4, 4.0001] , [3.9999, 4] , [3.999, 4] , [3.99, 4] . Use this to estimate the object's instantaneous velocity at t = 4 . V(4) = ft / sec