Question

A thrown object follows a path where at time t the position of the object is given by

r(t) = (3 + 90.63t)i + (−4.9t^2 + 42.26t + 5)j

(a) What (x, y) point best descries the objects initial position?
(b) If the initial velocity of the object was 100 m/s then what was the initial angle with
respect to the positive horizontal axis?
(c) What was the maximum height of the object?

Answer 1

a)

Object's initial position (i.e. t=0) is

       

=> point (3, 5)

b)

velocity is given by

Object's initial velocity (i.e. t=0) is

Initial angle with respect to the positive horizontal axis is

At maximum height,

At this time y-coordinate is given by

=> Maximum height reached = 96.118 m