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andrew11 [14]
3 years ago
8

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flig

ht is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.
Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

s(t)=6+2t+t^2 ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t

At t = 4 seconds,

v=2+2(4)\\\\=10\ ft/s

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

6+2t+t^2=50

We need to find t.

6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

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Hi there! Hopefully this helps!

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<h2 /><h2>Answer: 18</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2><h2 />

First we need to substitute the value of the variable into the expression.

b^{2}+3(2x-y) = 3^{2} + 3 (2(4)-5) .

Now we need to solve 3^{2} + 3 (2(4)-5).

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Step-by-step explanation:

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This question is incomplete, the complete question is;

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