Ask Question
1 February, 19:16

The height, h, in meters of a dropped object after t seconds can be represented by h (t) = - 4.9 t 2 + 136. What is the instantaneous velocity of the object one second after it is dropped?

+1
Answers (1)
  1. 1 February, 19:25
    0
    The velocity of the object 1 s after it is dropped is - 9.8 m/s.

    Explanation:

    Hi there!

    The instantaneous velocity is defined by the change in height over a very small time. Mathematically, it is expressed as the derivative of the function h (t):

    instantaneous velocity = dh/dt

    dh/dt = h' (t) = - 2 · 4.9 · t

    h' (t) = - 9.8 · t

    Now we have to eveluate the function h' (t) at t = 1 s:

    h' (1) = - 9.8 · (1) = - 9.8

    The velocity of the object 1 s after it is dropped is - 9.8 m/s.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The height, h, in meters of a dropped object after t seconds can be represented by h (t) = - 4.9 t 2 + 136. What is the instantaneous ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers