The velocity function (in meters per second) is given for

TokNeekCepTdh

TokNeekCepTdh

Answered question

2021-11-16

The velocity function (in meters per second) is given for a particle moving along a line.
v(t)=5t8, 0t3
b) Find the distance traveled by the particle during the given time interval

Answer & Explanation

mylouscrapza

mylouscrapza

Beginner2021-11-17Added 22 answers

Given:
The velocity of the particle is v(t)=5t8
Calculation:
The distacne travelled on the interval [0,3] is obtained by integrating the belocity function on that interval.
So, integrate v(t)5t8 on [0,3] as follows.
v(t)=03(5t8)dt
=[5t228t]03
=[52(0)28(0)][52(3)28(3)]
=0[45224]
=[45482]
=32
Answer: The distance travelled by the particle on the interval [0, 3] is (-3)/2 meters.

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