Quadratics Projectile Motion

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

In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)

• The y-intercept

• The x-intercepts

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• Something else

Henry launched a model rocket from the ground with an initial speed of 88 feet per second. When will the rocket be 40 feet high?

• 0.5 sec, 5 seconds

• 0.5 seconds

• 5 seconds

• never

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

• 1024 meters

• 64 meters

• 960 meters

• 2 meters

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

• h = 125 feet

• h = 80 feet

• h = 95 feet

• h = 140 feet

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