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At t sec after liftoff, the height of a rocket is 5t ft. How fast is the rocket climbing 2 sec after the liftoff?The speed of the rocket 2 seconds after liftoff isft/sec(Simplify your answer.)

Question

Can you please help me step by step with this problem?

At t sec after liftoff, the height of a rocket is 5t ft. How fast is the rocket climbing 2 sec after the liftoff?
The speed of the rocket 2 seconds after liftoff is
ft/sec
(Simplify your answer.)
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At t sec after liftoff, the height of a rocket is 5t ft. How fast is the rocket climbing 2 sec after the liftoff? The speed of the rocket 2 seconds after liftoff is ft/sec (Simplify your answer.)

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Step 1

It is given that, after liftoff at t seconds, the height of the rocket (h)=5t2 ft

Step 2

In order to determine, how fast is the rocket climbing after 2 seconds. Find out speed of the rocket at time t=2seconds.

dh
dt -2
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dh dt -2

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Step 3

As, h=5t2

Differentiate h=5t2 with respe...

dh d
(5)
dt dt
dh
= (5)X2)(1)
dt
dh
-10f
dt
At t 2
dh
= (10) (2)
dt
dh 20 ft/s
dt
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dh d (5) dt dt dh = (5)X2)(1) dt dh -10f dt At t 2 dh = (10) (2) dt dh 20 ft/s dt

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Tagged in

Math

Calculus

Derivative

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