Question

A child throws a ball with a speed of 5 feet per second at an angle of 73 degrees with the horizontal. Express the vector described in terms of i and j.

Answer 1

v = 5cos(73°)i +5sin(73°)j

Explanation:

The components of the velocity vector are ...

horizontal (i direction): 5·cos(73°)

vertical (j direction): 5·sin(73°)

Then the velocity vector is the sum of these component vectors:

v = 5cos(73°)i +5sin(73°)j