In the figure here, a red car and a green car move toward each other in adjacent

Question

In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 211 m. If the red car has a constant velocity of 25.0 km/h, the cars pass each other at x = 45.0 m. On the other hand, if the red car has a constant velocity of 50.0 km/h, they pass each other at x = 76.1 m. What are (a) the initial velocity (in km/h) and (b) the (constant) acceleration (in m/s2) of the green car? Include the signs.

Explanation / Answer

Let the initial velocity of green car be u and acceleration be a

Now,

in 1st case:

Time taken by green car to travel a distance of 211-45 = 166m = 6.48 sec

Now, using Kinematic equations,

166 = u*6.48 + 0.5*a*6.48*6.48

So, we get an equation in u and a

In 2nd case:

Time taken by green car to travel a distance of 211-76.1 = 134.9m = 9.72 sec

Now, using Kinematic equations,

134.9 = u*9.72 + 0.5*a*9.72*9.72

So, we get another equation in u and a

Solve these two equations and you will get the answers

Hope it was helpful!

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