Quadratic Application Projectile Motion

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball 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?

The height of an object thrown into the air can be modeled by the formula $$y=-16x^2+70x+95$$ , where y is in feet after x seconds.
What is the height of the object after 5 seconds?

A toy rocket launched from a platform that is 48 feet high. The rocket's height above the ground is modeled by $$h=-16t^2+32t+48$$ , where h is height in feet and t is time in seconds. Find the time it takes the rocket to reach the ground.

(a) What is the maximum height ​ (a)   feet.

(b) When will the rocket reach its maximum height. ​ (b)   second.

(c) How long is the rocket in the air ​ (c)   second.

(a)  

The height of an object thrown into the air can be modeled by the formula  $$y=-16x^2+70x+95$$  
 , where y is in feet after x seconds.
What is the initial height of the object?

A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
$$h=-16t^2+64t+960$$  
How many seconds did it take for the ball to reach its maximum height?

A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
$$h=-16t^2+64t+960$$
What is the maximum height reached?