Review Applications of Quadratics

A toy rocket is launched and its height is modeled by the equation h = -16t² + 32t + 48. What is the initial height of the object? Hint: Use the original equation h = -16t²+ vt + s

• 48 ft.

• 16 ft.

• 32 ft.

• 2 ft.

An object is launched directly upward and the height of the object is represented by the equation

h = –16t² + 64t + 80. What is the initial velocity the object is launched at?

Hint: Use the original equation h = -16t²+ vt + s

• 64 feet

• 80 feet

• 16 feet

• -16 feet

A basketball is thrown upwards with an initial velocity of 40 feet per second from a height of 6 feet. The height of the basketball at any time t can be modeled by the equation h = -16t² + 40t + 6. When does the basketball reach its maximum height? Hint: Find the Axis of Symmetry. SHOW ALL WORK FOR FULL CREDIT!

• 0.5 seconds

• 1.25 seconds

• 1.5 seconds

• 2 seconds

If the path of a projectile is modeled by: 
h(t) = -16t² + 20t +6, what is the height after 1 second? Hint: t = 1

SHOW ALL WORK FOR FULL CREDIT!

• 6 feet

• 20 feet

• 10 feet

• 4 feet

April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. high. The pathway of the arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height and t is the time in seconds. What is the maximum height that the arrow reaches? Hint: Find the vertex. SHOW ALL WORK FOR FULL CREDIT!

• 80 ft.

• 90 ft.

• 140 ft.

• 125 ft.

A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps? Hint: Find the vertex.

SHOW ALL WORK FOR FULL CREDIT!

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height? Hint: Find the axis of symmetry. SHOW ALL WORK FOR FULL CREDIT!

• 0.1 seconds

• 0.25 seconds

• 0.5 seconds

• 1 second

• 2 seconds

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get? Hint: Find the vertex. SHOW ALL WORK FOR FULL CREDIT!

• 2.625 sec

• 100 feet

• 200 feet

• 210.25 feet

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water? Hint: Solve using h = 0. Use Quadratic Formula or find the GCF, Zero Product Property.

SHOW ALL WORK FOR FULL CREDIT!

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take for the rock to reach the river (i.e. hit the "ground" h = 0)? Hint: Solve using Quadratic Formula or square root method.

SHOW ALL WORK FOR FULL CREDIT!

• 2.5 sec

• 3.5 sec

• 4.5 sec

• 3.8 sec