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?

Question

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.

Answer 1

correct.

Answer 2

that is one fast-moving cat.