Falling Objects, Launching Objects, and Projectile Pathways

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.

What is the height of the object after 5 seconds?

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

How many seconds did it take for the ball to reach its maximum height?

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

. Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?