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.

v = 5cos (73°) i + 5sin (73°) j

Step-by-step 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