the displacement of a particle at any instant is given by 4t2+8t-4 find the velocity when t = 3
Answers
Answered by
5
GiveN :
- x = 4t² + 8t - 4
To FinD :
- Velocity when t = 3
SolutioN :
As we know that :
____________________________
We have to find velocity in 3s. So, put t = 3
Answered by
8
Answer:
Given:
Displacement function has been provided as follows :
s = 4t² + 8t - 4
To find:
Velocity at t = 3 sec.
Calculation:
First of all, we need to differentiate the displacement function with respect to time. It would give us the instantaneous velocity . Then if we put the value the value of t = 3 sec , we get tge instantaneous Velocity at 3 sec .
s = 4t² + 8t - 4
=> v = ds/dt
=> v = d(4t² + 8t - 4)/dt
=> v = 8t + 8
Putting t = 3 sec , we get :
=> v = (8×3) + 8
=> v = 24 + 8
=> v = 32 m/s
So final answer :
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