You order a ride from Lyft, but the driver accidentally passes you by and, at that exact moment, steps on the brakes. He uniformly accelerates from 55 km/hr to rest in 3.0 seconds. After stopping, he takes 5 seconds to check his phone (while completely stopped). He uniformly accelerates to 10 km/hr in reverse in 2.0 seconds and travels at a constant speed until arriving at where you have been standing to pick you up (you remain at rest at the origin on the position graph the entire time). Assume that when he is next to you, he slams on the brakes and comes to rest in a distance of 40 cm. (C) What distance did it take for the driver to stop the first time (in meters)? (D) What was the total time that elapses from when the driver passes you to when he stops next to you. (E) What was the average velocity (magnitude and direction) of the driver (from the time he passed you until the time he picked you up)? (F) What was the average speed of the driver (from the time he passed you until the time he picked you up)?

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.