*37. mmh A car is traveling at a constant speed of 33 m/s on a highway. At the instant this car passes an entrance ramp, a second car enters the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.5 km away?

 

We have  ,  ,  ,  and

 

We want the acceleration of car 2 we also know time and distance are the same for both cars.   Basic equation is

We know d is same as well as t, so we can write this as

 

Plugging in what we know

Using the first equation solve for t

Plug this into second equation

Now solve for

 

 

 

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This page last updated on January 11, 2020