Question

The height of projectile fired upward with an initial velocity of 464 feet per second is given by the formula h--166+ 464t, where h is the height in feet and is the time in

seconds. Find the time required for the projectile to Feturn to earth.

Answer 1

The time required for the projectile to return to earth is approximately 0.3578 seconds.

Step-by-step explanation:

To find the time required for the projectile to return to earth, we need to solve the equation h = -166 + 464t for t when h = 0, since the height of the projectile is 0 when it returns to earth.

0 = -166 + 464t

166 = 464t

t = 166/464

t = 0.3578 seconds

Therefore, the time required for the projectile to return to earth is approximately 0.3578 seconds.