You are driving in your car at a speed of 10 m/s. You take an entrance ramp to t

Question

You are driving in your car at a speed of 10 m/s. You take an entrance ramp to the highway and speed up to 40 m/s in a time span of 15 s. What is your acceleration while you are getting up to speed? Assume you have a uniform acceleration. How far did you travel as you were trying to get up to speed? After you have gotten up to speed you see that the speed limit it actually-30 m/s. You brake at a rate of 2 m/s^2 to get to the legal speed. How long does it take you to slow down? How far do you travel as you are trying to slow down?

Explanation / Answer

a) acceleration = (Final velocity - Initial velocity) / time

= (40 - 10)/15

= 2 m/s^2

b) distance traveled = speed * time

= 10 * 15

= 150 m

c) acceleration = final velocity - initial velocity / time

2 = 40-30/t

t = 10/2 = 5 s

Time taken to slow down is 5sec

d) distance traveled = speed * time

= 40 * 15

= 600 m

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