Area Quadratic Functions and Projectile Motion

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) = _t² + _t + _.

What number go into the third blank?

• 2

• 80

• -16

• 64

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?

• 0.1 seconds

• 1.9 seconds

• 0.90 seconds

• 0.81 seconds

• Yes

• No

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

A tomato is launched vertically from the ground into the air at an initial velocity of 48 feet per second. What is happening to the tomato the second time s(t) = 0?

• the tomato hits the ground

• the tomato is launched

• the tomato is at its maximum height

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 320 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? Please select the correct "set up" for this problem.

• A(x) = x (320 - x)

• A(x) = 2x (320 - x)

• A(x) = 2x (320 - 2x)

• A(x) = x (320 - 2x)

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

• 70 feet

• 95 feet

• 149 feet

• -16 feet

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds