Test 5 Projectile Motion & Quadratic Formula

In a projectile motion problem, if the question is asking for the maximum height an object will reach, 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

Josh threw a tennis ball to his friend. The path of the tennis ball can be modeled by the equation:

h(t) = -16t² + 48t + 4

His friend missed the ball, so it hit the ground after how many seconds?

• 3.08 seconds

• 2.91 seconds

• 2.04 seconds

• 0.08 seconds

Kyle kicked a soccer ball off of a building and its path can be modeled by the following function:

h(t) = -16t² + 64t + 80

How high was the building the ball was kicked from?

• 80 feet

• 64 feet

• 224 feet

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

A ball is thrown into the air with an upward velocity of 100 feet per second. 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

• 10 minutes

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3
• x = 6 and x = -2
• x = -1 and x = -3

Match the following to set up the Quadratic Formula. (You do not need to solve. Only identify a, b, and c then plug into the correct places.)