SOLUTION: The velocity of a particle is given by the equation V = 3tē + 7t where V is measured in m/min. Find the displacement of the particle at t = 3 min if the initial displacement is 5
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Question 1113960: The velocity of a particle is given by the equation V = 3tē + 7t where V is measured in m/min. Find the displacement of the particle at t = 3 min if the initial displacement is 5 m.
Round your answer to the nearest whole number. Found 2 solutions by ikleyn, amalm06:Answer by ikleyn(52866) (Show Source):
The velocity of a particle is given by the equation V = 3tē + 7t where V is measured in m/min.
Find the displacement of the particle at t = 3 min if the initial position is 5 m.
You may think that the difference is insignificant. Yes, it is still not fatal, but it displays unprofessional using terminology (which is not good).
OK, now let's solve the problem !
Since the velocity is given as a function of time t, the position is the integral of velocity over time.
The integral of (3t^2 + 7t)dt is equal to , where C is the constant. The value of C is determined from the condition
that the initial position (at t= 0) is 5: C = 5 (<<<---=== given !)
So, the final formula for the position is P(t) = meters.
The position at t= 2 min is P(3) = = 63.5 meters.
The displacement from the initial position is 63.5-5 = 58.5 meters.
Answer. The displacement from the initial position is 58.5 meters.
Solved.
I just solved today similar (TWIN) problem.
I think these two solved problems are enough for you, and you will not submit the TWIN problems more.
