Quadratics Initial Height

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?

• -16 seconds

• -6 seconds

• 0 seconds

• 5 seconds

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

h = -16t² + 100t + 5.

What is the maximum height?

• 125.251 feet

• 161.25 feet

• 239.126 feet

• 115.25 feet

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

h = -16t² + 100t + 5.

When did the ball hit the ground?

• 6.300 seconds

• 11.251 seconds

• 5.369 seconds

• 7.458 seconds

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?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

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.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -16t² + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 96 feet

• 100 feet

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

h = -16t² + 100t + 5

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

• 3.654 seconds

• 2.451 seconds

• 161.25 seconds

• 3.125 seconds

The parabola shows the trajectory of a tennis ball that was hit with a tennis racket. What is the starting height of the tennis ball? (Click the picture to enlarge it)

• 3 feet - y-intercept

• 12 feet - vertex

• 1.5 seconds - vertex

• 3 seconds - x-intercept

The parabola shows the trajectory of a tennis ball that was hit with a tennis racket. How long di it take for the tennis ball to hit the ground? (Click the picture to enlarge it)

• 3 feet

• 12 feet

• 1.5 seconds

• 3 seconds

What is the highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds