11. [–/4 Points]
DETAILS
SERCP11 2.1.P.017.
MY NOTES
ASK YOUR TEACHER
A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the instantaneous velocity at the following instants.

(a)
t = 1.00 s

m/s

(b)
t = 3.00 s

m/s

(c)
t = 4.50 s

m/s

(d)
t = 7.50 s

m/s

Explanation:

From the graph attached,

Values on y-axis represent the distance traveled by a particle at any moment of time 't' given at x-axis.

Velocity of the particle =

a). At t = 1 s,

Position of the the point is at (1, 5).

Therefore, slope of the line = velocity of the particle

Velocity =

             = m per sec

             = 5 m per sec.

b). At t = 3 s,

Velocity of the particle = Slope of the segment on which the particle lies

Velocity =

              = 3 m per sec.

c). At t = 4.5 s,

Velocity = 0 [Since distance traveled = 0]

d). At t = 7.5 s

Velocity =

              = 6 m per sec.

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the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.