As a function of time, the velocity of the football described in Problem can be written as...

As a function of time, the velocity of the football described in Problem can be written as . Calculate the average acceleration vector of the football for the time periods (a) t = 0 to t = 1.00 s, (b) t = 0 to t = 2.50 s, and (c) t = 0 to t = 5.00 s. (If the acceleration of an object is constant, its average acceleration is the same for all time periods.)

Problem

A football is thrown horizontally with an initial velocity of (16.6 m/s) . Ignoring air resistance, the average acceleration of the football over any period of time is (–9.81 m/s2)ŷ. (a) Find the velocity vector of the bail 1.75 s after it is thrown. (b) Find the magnitude and direction of the velocity at this time.