An object is dropped from the top of a cliff 660 meters high. Its height above the ground t seconds after it is dropped is 660 4.9t2. Determine its speed 4 seconds afterit is droppedThe speed of the object 4 seconds after it is dropped ism/sec(Type an integer or a decimal. Do not round.)

Question
Asked Sep 16, 2019

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An object is dropped from the top of a cliff 660 meters high. Its height above the ground t seconds after it is dropped is 660 4.9t2. Determine its speed 4 seconds after
it is dropped
The speed of the object 4 seconds after it is dropped is
m/sec
(Type an integer or a decimal. Do not round.)
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An object is dropped from the top of a cliff 660 meters high. Its height above the ground t seconds after it is dropped is 660 4.9t2. Determine its speed 4 seconds after it is dropped The speed of the object 4 seconds after it is dropped is m/sec (Type an integer or a decimal. Do not round.)

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Expert Answer

Step 1

Given that the object is dropped from a top of a 660 meters high cliff.

Also, the height above the ground after t seconds is given to be 660 – 4.9t2, that is,

h 660 4.9t2
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h 660 4.9t2

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Step 2

In order to find the speed, differentiate h with respect to t.

dh
=-4.9(2t)
dt
=-9.8t
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dh =-4.9(2t) dt =-9.8t

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Step 3

After 4 seconds the s...

9.8(4)-39.2
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9.8(4)-39.2

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Tagged in

Math

Calculus

Differential Equations