Projectile Motion & Mixed Review Quadratics

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?
Hint:  $f\left(5\right)=?$  

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

Tags

CCSS.HSA.APR.A.1

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.
 $h=-16t^2+64t+960$  
How many seconds did it take for the ball to reach its maximum height?

Hint: look at the vertex and remember that x=seconds and y=height.

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

 $h=-16t^2+64t+960.$  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

When did the ball hit the ground?
Hint: when the height (h) = 0 OR the x-intercept

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• 1024 meters

• 64 meters

• 960 meters

• 2 meters

Tags

CCSS.HSA.REI.B.4

Must make Equation =0, then quadratic formula or factor

• -3

• 0.4

• 2.5

• 4

Tags

CCSS.HSA-REI.B.4B

Hint: Make equation =0, then type into Desmos and look for x-intercepts.

• -0.5

• 0.5

• 2

• -2

Tags

CCSS.HSA.REI.B.4

Hint: make equation =0, then put equation into Demos.

• -4

• 2

• -1

• 3

Tags

CCSS.HSA.REI.B.4

• 1

• 7

• -4

• 9

Tags

CCSS.HSA-REI.B.4B

which of the following show the quadratic formula being used properly?

• $\frac{-7\pm\sqrt{\left(7\right)^2-4\left(1\right)\left(-10\right)}}{2\left(1\right)}$

• $\frac{7\pm\sqrt{\left(7\right)^2-4\left(1\right)\left(-10\right)}}{2\left(1\right)}$

• $\frac{-10\pm\sqrt{\left(-10\right)^2-4\left(1\right)\left(7\right)}}{2\left(1\right)}$

• $\frac{10\pm\sqrt{\left(-10\right)^2-4\left(1\right)\left(7\right)}}{2\left(1\right)}$

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

Tags

CCSS.HSA-REI.B.4B