Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0

Question:

Suppose a car merges into freeway traffic on a 200-m-long ramp. If its initial velocity is 10.0 m/s and it accelerates at 2.00m/s2, how long does it take to travel the 200 m up the ramp? (Such information might be useful to a traffic engineer.)

Strategy
Draw a sketch.

t = ? %0 = 0 % = 10.0 m/s x = 200 m v = ? a = 2.00 m/s

We are asked to solve for the time . As before, we identify the known quantities in order to choose a convenient physical relationship (that is, an equation with one unknown ,t ).

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