SOLUTION: The height of a falling object dropped form a height of 100m is described by h=100-16t2 where t is time measured in seconds. Find i) The velocity at t = 2 ii) The accelerati

Algebra.Com
Question 364182: The height of a falling object dropped form a height of 100m is described by h=100-16t2 where t is time measured in seconds.
Find i) The velocity at t = 2
ii) The acceleration at t = 2

Found 2 solutions by Earlsdon, Alan3354:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
The height (as a function of time, t) of an object falling from 100 meters is described by:

i) Find the velocity at t = 2
The velocity is the rate of change of distance with respect to time, t.
If we take the first derivative of the height fuction, we will get the eqation for the velocity.
and at t=2, we get:

meters/second. The negative indicates a downward direction.
ii) Find the acceleration at t = 2.
Acceleration, which is the rate of change of velocity with respect to time, t, can be found by taking the second derivative of the height function ():
=meters/second squared.

meters/second squared. A constant.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
This problem has the height in meters, but uses the formula for feet.

RELATED QUESTIONS

The height, h (in feet), of a falling object on Mars is given by h=-6t^2+s , where t is... (answered by ankor@dixie-net.com)
The height, h (in feet), of a falling object on Mars is given by h=-6t2+s , where t is... (answered by josmiceli)
An object is dropped from the top of a building that is 144 ft high. The function given... (answered by ewatrrr)
The height, h (in feet), of a falling object on Mars is given h=-6t^2+s, where t is the... (answered by josmiceli)
Solve the application. See Examples 11-12. (Objective 4) The height h (in feet) of an... (answered by josmiceli)
The height h (in feet) of an object that is dropped from a height of s feet is given by... (answered by ikleyn)
i am having the worst time on what i thought would be a fairly easy question, it goes... (answered by josmiceli)
the height h (in feet)of an object that is dropped from the height of s feet is given by... (answered by Earlsdon)
The height h (in feet) of an object that is dropped from the height of s feet is given by (answered by ankor@dixie-net.com)