Quadratic Projectile Motion

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?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

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?

• 70 feet

• 95 feet

• 149 feet

• -16 feet

Tags

CCSS.HSA.SSE.A.1

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?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

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?

• 1024 feet

• 64 feet

• 960 feet

• 2 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

 $h=-16t^2+64t+960$  

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?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $y=-16x^2+88x$  

Henry launched a model rocket from the ground. Its height after x seconds can be modeled by the function above.  When will the rocket be 40 feet high?

• 0.5 sec, 5 seconds

• 0.5 seconds

• 5 seconds

• never

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4