1.) A fast moving vehicle travelling at a speed of 33.9 m/scomes up behind another vehicle which is travelling at a slower,constant speed of 15.4 m/s. If the faster vehicle does not beginbraking until it is 15.8 meters away from the car in front of it,what is the minimum acceleration that the faster car must exhibitif it is to avoid colliding with the car in front? Assume that bothcars are travelling in the positive direction. 2.)A college studentstands on a balcony of a sorority house a distance of 10.0 metersabove the ground. Her sorority sister is on the ground below thebalcony, and tosses her keys straight upward toward her friend whocatches the keys 4.9 seconds later. With what speed were the keysinitially thrown?