[someone help] The speed of the object 7 seconds after it is dropped is ___m/sec

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06-05-2021
Mathematics

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[someone help] The speed of the object 7 seconds after it is dropped is ___m/sec

Sagot :

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sqdancefan sqdancefan · Answer 1 · 2021-05-06T20:39:22-04:00

9514 1404 393

Answer:

68.6 m/s

Step-by-step explanation:

The speed at a given time is the derivative of the height at that time.

dh/dt = -9.8t

At t=7, the speed is ...

-9.8(7) = -68.6 . . . . . meters per second (downward)

The speed is 68.6 meters per second.

_____

Additional comment

Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.

Sagot :

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