Problem 6 A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt? - c t³, where b = 2.4 m/s and c = 0.120 m/s. a) Calculate the average velocity of the car for the time interval t = 0 tot = 10.0 s. b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, andt = 10.0 s. c) How long after starting from rest is the car at rest again?

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Problem 6
A car is stopped at a traffic light. It then travels along a straight road such that its distance from the
light is given by x(t) = bt -c t, where b = 2.4 m/s? and c = 0.120 m/s.
%3D
%3D
a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s.
b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s.
c) How long after starting from rest is the car at rest again?
a)
VAve
12 m/s
%3D
b)
v, m/s
t, sec
0.0
5.0
15
10.0
12
c)
t = 13.3 s
Transcribed Image Text:Problem 6 A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt -c t, where b = 2.4 m/s? and c = 0.120 m/s. %3D %3D a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s. c) How long after starting from rest is the car at rest again? a) VAve 12 m/s %3D b) v, m/s t, sec 0.0 5.0 15 10.0 12 c) t = 13.3 s
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