Solution
- The equation modeling the height of the falling object is:
Question 1:
- To find the velocity of the falling object, we simply differentiate the function with respects to time (t).
- After this, we can find when the velocity of the object is -30ft/s by substituting V = -30 and find the value of t.
- Thus, we have:
- The time is 5.89s
Question 2:
- The height of the object at time t = 5.89s is gotten by substituting this value of time (t) into the equation of the height given to us.
- We have:
- the height is 134 ft