The velocity function (in meters per second) for a particle moving along a line is given byv(t)-1(2- 2t - 8), 1 st6.(a) Find the displacement (in meters) of the particleDisplacement10/3meters(b) Find the total distance traveled (in meters) by the particle.Total distance traveled =meters

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Asked Nov 5, 2019
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The velocity function (in meters per second) for a particle moving along a line is given by
v(t)-1(2- 2t - 8), 1 st
6.
(a) Find the displacement (in meters) of the particle
Displacement
10/3
meters
(b) Find the total distance traveled (in meters) by the particle.
Total distance traveled =
meters
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The velocity function (in meters per second) for a particle moving along a line is given by v(t)-1(2- 2t - 8), 1 st 6. (a) Find the displacement (in meters) of the particle Displacement 10/3 meters (b) Find the total distance traveled (in meters) by the particle. Total distance traveled = meters

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Expert Answer

Step 1

Equate v(t) to 0.

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-1(-2-8)0 -22t8 0 t- 2t 8 0 2-4t+2 8 0 (-4)+2(t-4)0 (+2)(t-4) 0 t-4 L6 For (1,4), v(t)0 For (4,6), v(t)<0

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Step 2

Compute the total distance ...

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6 6 (-t2 2t +8)dt = |-t 2t +8)dt-2 2t+8)dt 1 4 2t2 2t2 +8t +8t + 2 3 + 2 (4) 3 +(4) +8(4)-_(. -+(1) +8(1) 3 (6)'3 (4)* 3 (+8()|| -+(6) +8(6) 3 3

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