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. (A) Use the axes below to plot position, velocity, and acceleration, all versus time, of the Lyft driver in the car. Mark the times when something changes on the time axes, but you may make the plots qualitative and fill in the numbers as you find them below (B) Find each of the three accelerations of the driver.

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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.