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fomenos
3 years ago
12

A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h

is the height in meters above the ground. Find the maximum height of the ball. What value would you have to change in the equation if the maximum height of the ball is more than 2.4 meters?
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
The maximum value can be determined by taking the derivative of the function.

(dh/dt) [h(t)] = h'(x) = -9.8t + 6

Set h'(x) = 0 to find the critical point

-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8

Plug the time back into the function to find the height.

h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4

And I don't understand your second question.
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The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.
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The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

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2 years ago
At a high school 7 student volunteer for a committtee how many different 5 person committees can be chosen
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There are 21 ways in which the 5-committee member can be selected from the 7 volunteers.
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3 years ago
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