4 years ago

Jessica earns $63.70 in 6.5 hours. How much does she earn in 1 hour?

1 answer:

8 0

She earned 9.8 bc if u cross multiply and a proportion of 63.7/6.5=x/1 u get 63.7=6.5x divide 6.5 for both sides of the equal sign and get 9.8

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Answer:

(a) $s(44) = 3.52*10^{6}ft$

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Step-by-step explanation:

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(a) when t = 44sec

$s(44) = 1818(44^{2}) = 1818(1936)\\ \\s(44) = 3519648ft$

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(b) How fast the hammer is traveling i.e. the speed of the hammer.

To find speed, we differentiate the distance s(t) with respect to time, t

$speed,v=\frac{ds(t)}{dt}=\frac{d}{dt}(1818t^{2}) \\\\v = 1818*2t^{2-1}= 1818*2t\\ \\v = 3636t$

at t = 44sec,

$v = 3636*44=159984ft/s$

$v$ ≅ $160000ft/s = 1.6*10^{5}ft/s$

(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t

$acceleration, a = \frac{dv}{dt}=\frac{d}{dt}(3636t)\\ \\a = 3636*1= 3636\\\\a = 3636ft/s^{2}$

There's no need to substitute t = 44sec because the acceleration is independent of time.

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