14.2: A Catapulted Pumpkin Catapulted Pumpkin
36
-32
-28
-24
-20
The equation h = 2 + 23.7t – 4.9tº represents the height of a pumpkin that is catapulted up in the air as a
function of time, t, in seconds. The height is measured in meters above ground. The pumpkin is shot up at a
vertical velocity of 23.7 meters per second.
1. Without writing anything down consider these questions:
• What do you think the 2 in the equation tells us in this situation? What about the -4.9t??
If we graph the equation, will the graph open upward or downward? Why?
Where do you think the vertical intercept would be?
• What about the horizontal Intercepts?
2. Graph the equation using graphing technology.
3. Identify the vertical and horizontal intercepts, and the vertex of the graph. Explain what each point means
In this situation.
Height (Meters)
16
12
8
Time (Seconds)

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun