Answer:
- height: 48.6 ft
- time in air: 3.4 s
Step-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
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The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
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The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.
Line y=mx+b has point (0,b).
If you've got poind (0,4) - you can write, that b=4.
So this is line y=mx+4
Now slope. You've got point (1,0), so for x=1, y=0. Substitute:
m * 1 + 4 = 0
m+4 = 0
m=-4
So equation of this line is: y=-4x+4
Answer:
-26
Step-by-step explanation:
I just did it and I got it right
Answer:175
Step-by-step explanation:
Idk how I got this
decelerating. The dots are equal time distances apart, but are progressively closer together in position. So the object must be covering less distance in the same amount of time.