A ball tossed into the air from a bridge, and its height, y (in feet), above the ground t seconds after it is thrown is given by y = f(t) = -16t² + 38t + 28. a) How high above the ground is the bridge? The height of the bridge = feet b) What is the average velocity of the ball in for the first second? feet/second c) Find the velocity of the ball at t = 1 second. feet/second

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A ball tossed into the air from a bridge, and its height, y (in feet), above the ground t seconds after it is thrown is given by
y = f(t) = -1612 + 38t + 28.
a) How high above the ground is the bridge?
The height of the bridge =
feet
b) What is the average velocity of the ball in for the first second?
feet/second
c) Find the velocity of the ball at t = 1 second.
feet/second
d) Decide at what time, t, the ball reaches its maximum height. Round the answer to one decimal place.
t =
seconds
Transcribed Image Text:A ball tossed into the air from a bridge, and its height, y (in feet), above the ground t seconds after it is thrown is given by y = f(t) = -1612 + 38t + 28. a) How high above the ground is the bridge? The height of the bridge = feet b) What is the average velocity of the ball in for the first second? feet/second c) Find the velocity of the ball at t = 1 second. feet/second d) Decide at what time, t, the ball reaches its maximum height. Round the answer to one decimal place. t = seconds
e) Graph f, and determine the maximum height the ball reaches. What is the velocity at the time the ball is at the peak? Round the
answers to one decimal place.
80
8o
80
70
70
70
60
60
60
50
50
40
30
50
40
30
30
20
20
20
10
10
10
t
+
+
+
1
4
1
2
4
1
2
4
Figure 1
Figure 2
Figure 3
Choose the correct graph number from the table above:
The maximum height =
feet (round the answer to one decimal place)
The velocity at the peak
feet/second
3.
3.
Transcribed Image Text:e) Graph f, and determine the maximum height the ball reaches. What is the velocity at the time the ball is at the peak? Round the answers to one decimal place. 80 8o 80 70 70 70 60 60 60 50 50 40 30 50 40 30 30 20 20 20 10 10 10 t + + + 1 4 1 2 4 1 2 4 Figure 1 Figure 2 Figure 3 Choose the correct graph number from the table above: The maximum height = feet (round the answer to one decimal place) The velocity at the peak feet/second 3. 3.
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