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A rocket is launched upward with an initial speed of 325 ft/s. Its path is
modeled by the equation -16t^2 +325t, where h is the height of the
rocket and is the time in seconds since it launched. How long does the
rocket take to reach the ground?

Respuesta :

The time it takes for the rocket to hit the ground is; 20.3125 seconds

How to solve projectile problems?

The equation h(t) = -16t² + 325t gives you the height in feet, and "t" represents time in seconds.

When the rocket hits the ground the height is zero. Replace the height in the equation with zero ⇒ h(t) = 0, and then factor, use zero-factor property and solve for time "t"

-16t² + 325t = 0

-16t(t - 20.3125) = 0

t = 0 or 20.3125 seconds

Thus, the rocket hits the ground at 20.3125 seconds

Read more about Projectiles at; https://brainly.com/question/24710446

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