Question

The graph below describes the position x vs time of an object.

Position (m) vs time[s] 10 9 CO 7 그림 영역 6 5 4 3 2. 1 0 0 5 10 15 20 25 t a. Draw as precisely as you can a motion diagram below: (dots, starting at 0 [m] every 2 seconds) m 2 3 4 5 6 7 8 9 10 11 12 13

1. Draw as precisely as you can a motion diagram below: (dots, starting at 0 [m] every 2 seconds)
2. Draw a graph below it to represent the velocity vs time of the cart

Answer 1

From the graph we can see
for [0 < = t < = 6], dx/dt = 9.2/6 = 1.533333 m/s
after t = 6 s
at t = 8 s, x = 9 m
at t = 10 s, x = 8 m
at t = 12 s, x = 6 m
at t = 14 s, x = 4 m
at t = 16 s, x = 4 m
at t = 18 s, x = 5 m
at t = 20 s , x = 5 m

so the motion diagram is as under

m 10 11 12 13

From the motion diagram we can see
for [ 6 < = t < = 8], v = -(9.2 - 9)/2 = -0.1 m/s
for [ 8 < = t < = 10], v = (8- 9)/2 = -0.5 m/s
for [ 10 < = t < = 12], v = (6 - 8)/2 = -1 m/s
for [ 12 < = t < = 14], v = (4 - 6)/2 = -1 m/s
for [ 14 < = t < = 16], v = (4 - 4)/2 = 0 m/s
for [ 16 < = t < = 18], v = (5 - 4)/2 = 0.5 m/s
for [ 18 < = t < = 20], v = (5 - 5)/2 = 0 m/s

the velocity time diagram is as under

Position [m] vs time[s] 10 5 0 0 0 nt m N O 4 3 O 10 15 15 10 on Nont NHO Velocity 3 1 time