Question

A vector is described. Express the vector in terms of i and j.A quarterback releases a football with a speed of 36 feet per second at an angle of 60° with the horizontal.v=

Answer 1

see the figure below to better understand the problem

we have

R=36 ft/sec

Find out the components Rx and Ry

Rx=36*cos60

$R_x=36\cdot\frac{1}{2}=18\text{ ft/sec}$

Ry=36*sin60

$R_y=36\cdot\frac{\sqrt[]{3}}{2}=18\sqrt[]{3}$

therefore

the answer is

$18i+18\sqrt[]{3}j$