Answer:
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 = [tex]\frac{\triangle y}{\triangle x}[/tex]
a). At t = 1 s,
Position of the the point is at (1, 5).
Therefore, slope of the line = velocity of the particle
Velocity = [tex]\frac{\text{Distance traveled from x= 0 to x = 1}}{\text{Duration}}[/tex]
= [tex]\frac{5}{1}[/tex] 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 = [tex]\frac{10-4}{4-2}[/tex]
= 3 m per sec.
c). At t = 4.5 s,
Velocity = 0 [Since distance traveled = 0]
d). At t = 7.5 s
Velocity = [tex]\frac{0+6}{8-7}[/tex]
= 6 m per sec.
