- #1
belltos
- 6
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1. A motorcyclist who is moving along an x-axis directed towards the east has an acceleration given by a = 6.1 -1.2t m/s2 for t between 0 and 6s. At t=0, the velocity and position of the cyclist are 2.7 m/s, and 7.3m. a) What is the maximum speed achieved by the cyclist? b) What total distance does the cyclist travel between t=0 and t=6 s.
I don't know how to start this question. I assumed I would use the equation x = x0 + v0t +1/2at^2.
v0 = 2.7
x0 = 7.3
a = 6.1 - 1.2t
I tried subbing those quantities into the equation, and then plug in 6 for time, but my answers don't make sense.
I also tried integrating a to get my velocity function and then solve that indefinite integral using 0 and 6 as my boundries... but I'm stuck.. please help
I don't know how to start this question. I assumed I would use the equation x = x0 + v0t +1/2at^2.
v0 = 2.7
x0 = 7.3
a = 6.1 - 1.2t
I tried subbing those quantities into the equation, and then plug in 6 for time, but my answers don't make sense.
I also tried integrating a to get my velocity function and then solve that indefinite integral using 0 and 6 as my boundries... but I'm stuck.. please help