Posted by **Tammy** on Monday, October 15, 2007 at 1:45pm.

You are sitting in your car at a traffic light at the foot of a 200 ft long ramp that will take you onto the interstate. If your cat can at best accelerate at 5 m/s^2 and the traffic on the interstate is moving at 65mph. will the ramp be long enough for you to reach that speed and thus safely merge with the traffic?

200ft=60.96m

a=5m/s^2

v=65mph=20.95m/s

v_0=0m/s

would I use delta d=(v^2 - v_0^2)/(2a)

60.96=29.05^2-0/(2*5)

60.96=84.39

so thus the answer would be no the car would not safely merge with the traffic. Is this correct? Thanks in advance for your help.

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