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yanalaym [24]
3 years ago
7

When the sun was directly overhead, the stick had no shadow. After 20 minutes, the shadow was 10.5 cm long. After 60 minutes, it

was 26 cm long.
a) Based on this information, estimate how long it will be after 95 minutes.
Mathematics
1 answer:
topjm [15]3 years ago
8 0

Step-by-step explanation:

It don't have any answer choice , I think it is 40 something

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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
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Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

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