1. A ball was kicked into the air which follows a parabolic path described by the equation:

h=-2(t-4)2+10

Step 1:Make a let statement.

Let h repersent height

Let t repersent time

 

a)When does the ball reach its maximum height?

 

-the question is asking how long did it take for the ball to reach its highest point.

 

-on a paraboa graph the vertex it the higest point

 

Step 2:Set bracket to 0

h=-2(t-4)2+10

t-4=0

+4+4

t=4

 

The ball took 4 seconds to reach its highest point.

 

b)What is the maximum height?

Step 3: Plug in your "t"(x) value into the equation

h=-2(t-4)2+10

h=-2(4-4)2+10

h=-2(0)2+10

h=-2(0)+10

h=0+10

h=10

 

The maximum height is 10m.

 

 

Now You Try!

 

1. A frisbee was thrown into the air which follows a parabolic path described by the equation:

h=4(t-6)2+2

 

a)When does the ball reach its maximum height?

 

b)What is the maximum height?

 

Answers:a)6  b)2

 

2.A ball was thrown into the air which follows a parabolic path described by the equation:

h=(t-20)2+3

 

a)When does the ball reach its maximum height?

 

b)What is the maximum height?

 

Answers:a)20  b)3