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.