ack and Sally are standing 10 meters from the bottom of a 100-meter ridge. Suddenly, a large stone falls off the edge of the ridge. Jack and Sally immediately begin to sprint away from the ridge with a rate of 8 meters per second. What is the rate at which the distance between Jack and Sally, and the large stone is varying after two seconds? The height (in meters) of a free falling object that is under the influence of only gravity is h(t) = h0 + v0t − 4.9t2 where h0 is the initial height, v0 is the initial velocity and t is measured in seconds. Round all values to the nearest tenths place (first decimal value). You must show ALL of your work in order to receive full credit.

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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.