Quadratics Projectile Motion

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?

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t² + 64t + 80.
What will be the object's maximum height? 

What algebraic term are you solving for if the word problem is: 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 land?

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

(a)  

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.

3. A projectile is launched from a point 40 m above the ground. The height at ground level h in meters after t seconds is given by the function(t) = 40t -5t²

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?

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24.  How long will it take for you to hit the water?