Describe that parabola!
f(x)= 3x2
narrow
f(x) = x2+12
12 up
Find the axis of symmetry:
x2-8x+17
x=4
Write a vertical motion model in the form:
h(t)= -16t2+v0t+h0 for the situation:
Initial velocity is 32 ft/s
Initial height is 20 ft
-16t2+32t+20
A measuring tape drops from a roof that is 16 feet above the ground. After how many seconds does the measuring tape land on the ground?
1 second
f(x)= 1/2x2
wide
f(x) = (x-1)2
1 right
Find the axis of symmetry:
-x2-2x-2
x=-1
Write a vertical motion model in the form:
h(t)= -16t2+v0t+h0 for the situation:
Initial velocity is 120 ft/s
Initial height is 50 ft
-16t2+120t+50
A frightened cat jumps straight into the air with an initial vertical velocity of 14 feet per second. How long will it take for the cat to reach the ground again?
.875 seconds
f(x)= -12x2
down and narrow
f(x) = (x+10)2-3
10 left and 3 down
Find the axis of symmetry:
-x2+6x-8
x=3
Write a vertical motion model in the form:
h(t)= -16t2+v0t+h0 for the situation:
Initial velocity is 32 ft/s
Initial height is 20 ft
How many seconds will it take the object thrown to reach maximum height (Hint: are you finding the x or y value?)
-16t2+32t+20
x=1
It will take 1 second to reach the maximum height
A man throws a ball into the air, releasing it from a height of exactly 7 feet with an initial velocity of 54 feet per second. How long will it take the ball to hit the ground?
3.5 seconds
f(x)= 0.75x2
wide
f(x) = (x+9)2+13
9 left and 13 up
Find the VERTEX:
-3x2+6x
(1,3)
Write a vertical motion model in the form:
h(t)= -16t2+v0t+h0 for the situation:
Initial velocity is 32 ft/s
Initial height is 20 ft
What is the max height of the object thrown? (Hint: are you finding the x or y value?)
-16t2+32t+20
y= 36
The max height is 36 feet
While throwing a temper tantrum, an angry toddler standing on a chair screams and throws his ice cream cone into the air from 5 feet above the ground with an initial vertical velocity of 30 feet per second (he’s pretty strong!). How long does it take before the cone hits his baby brother’s head 1 foot above the ground? (Use Trace Graph)
2 seconds
f(x)= -0.3x2
down and wide
f(x) = (x-13)2-4
13 right and 4 down
Find the VERTEX:
-2x2-16x-31
(-4,1)
Write a vertical motion model in the form:
h(t)= -16t2+v0t+h0 for the situation:
Initial velocity is 64ft/s
Initial height is 30 ft
How many seconds will it take the object thrown to reach maximum height? What is the max height?
-16t2+64t+30
x= 2 (2 seconds to reach max height)
y= 94 (94 ft is max height)
A girl flips a coin into a 49 ft deep wishing well. If she flips the coin upwards with an initial velocity of 5 ft/s and from a height of 5 feet above the ground, how long until the coin splashes in the water in the well?
2 seconds