An object is moving along the x axis and an 18.0 s record of its position as a f

Question

An object is moving along the x axis and an 18.0 s record of its position as a function of time is shown in the graph.

(a) Determine the position

x(t) of the object at the following times.

t = 0.0, 3.00 s, 9.00 s, and 18.0 s

(b) Determine the displacement x of the object for the following time intervals. (Indicate the direction with the sign of your answer.)

t = (0 6.00 s), (6.00 s 12.0 s), (12.0 s 18.0 s), and (0 18.0 s)

(c) Determine the distance d traveled by the object during the following time intervals.

t = (0 6.00 s), (6.00 s 12.0 s), (12.0 s 18.0 s), and (0 18.0 s)

(d) Determine the average velocity vvelocity of the object during the following time intervals.

t = (0 6.00 s), (6.00 s 12.0 s), (12.0 s 18.0 s), and (0 18.0 s)

vvelocity(0 6.00 s)

vvelocity(6.00 s 12.0 s)

vvelocity(12.0 s 18.0 s)

vvelocity(0 18.0 s)

(e) Determine the average speed vspeed of the object during the following time intervals.

t = (0 6.00 s), (6.00 12.0 s), (12.0 18.0 s), and (0 18.0 s)

vspeed(0 6.00 s)

vspeed(6.00 s 12.0 s)

vspeed(12.0 s 18.0 s)

vspeed(0 18.0 s)

x(t = 0) = ___ m x(t = 3.00 s) = ___ m x(t = 9.00 s) = ___ m x(t = 18.0 s) = ___ m
x (m) 40 25 10 t (s) 3 6 9 12 15 18

Explanation / Answer

a]i) x= 10m

ii) x= 25m

iii) x = 40m

iv) x= 0 m

b)i) x = 40-10 = 30 m

ii) x = 0 m

iii)x = 0 - 40 = - 40 m

iv) x = 0 - 10 = -10m

c)i) d = 40-10 = 30 m

ii) d  = 0 m

iii)d  = 40 m

iv) x  = 30+40 = 70m

d] i)v= 30/6 = 5 m/s

ii) v = 0 m/s

iii) v = -40/6 = -6.67 m/s

iv) v= -10/18 = -0.556 m/s

e] i) v= 30/6 = 5 m/s

ii) v = 0 m/s

iii) v = 40/6 = 6.67 m/s

iv) v= 70/18 = 3.889 m/s

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