To visit your favorite ice cream shop, you must travel 470mwest on Main Street and then 980msouth on Division Street. Suppose you take 46sto complete the 470-mdisplacement and 73sto complete the 980-mdisplacement.What is the direction of your average velocity during this 119-second period of time?Express your answer to two significant figures.

After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.

A fast food restaurant uses a conveyor belt to send the burgers through a grilling machine. If the grilling machine is 1.1m long and the burgers require 2.5min to cook, how fast must the conveyor belt travel? If the burgers spaced 15cm apart, what is the rate of burger production (in burgers/min)?

The Moon is about 3.8 ✕ 108 m from Earth. Traveling at the speed of light, 3.0 ✕ 108 m/s, how long does it take a laser beam to go from Earth to the Moon and back again (in s)? The same physics was responsible for the noticeable delay in communications signals between lunar astronauts and controllers at the Houston Space Flight Center.