Real World Quadratic Problems

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function : h(t) = -16t^2 + 40t + 10 How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

A ball is thrown into the air with an initial velocity of 25 m/s. The height of the ball can be modeled by the equation h(t) = -4.9t^2 + 25t + 5, where h(t) represents the height of the ball at time t in seconds. What is the maximum height reached by the ball?

• -4.9 meters

• 25 meters

• 64.05 meters

• 5 meters

A ball is thrown into the air with an initial velocity of 20 m/s. The height of the ball can be modeled by the equation h(t) = -3t^2 + 20t + 5, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to hit the ground?

• 4.77

• 6.12

• 2.35

• 10.45

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

A ball is thrown into the air with an initial velocity of 30 m/s. The height of the ball can be modeled by the equation h(t) = -5t^2 + 30t + 10, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to hit the ground?

• 5.77

• 15.4

• 10.2

• 2.5

A rocket is launched into the air with an initial velocity of 80 m/s. The height of the rocket can be modeled by the equation h(t) = -16t^2 + 80t + 10, where h(t) represents the height of the rocket at time t in seconds. How long does it take for the rocket to reach its maximum height?

• 2.5

• 5.0

• 3.5

• 1.5

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

• 3.75

• 4.5

• 5.25

• 2.5

A ball is thrown into the air with an initial velocity of 10 m/s. The height of the ball can be modeled by the equation h(t) = -1.5t^2 + 10t + 2, where h(t) represents the height of the ball at time t in seconds. What is the maximum height reached by the ball?

• 56.67

• 2

• 10

• -1.5

A rocket is launched into the air with an initial velocity of 120 m/s. The height of the rocket can be modeled by the equation h(t) = -12t^2 + 120t + 30, where h(t) represents the height of the rocket at time t in seconds. How long does it take for the rocket to reach its maximum height?

• 2

• 5

• 10

• 15