Find the area of the following parallelogram


MH = 55 cm
MX = 79 cm
n = 37 cm

An object moves in a wind tunnel along a straight line path so that the distance in feet it has traveled after t seconds is given by s=20t-t^3/2

(1) What is the average velocity of the object during the time interval [2.5,5.4]?

(2) What is the instantaneous velocity at time t = 3 seconds?

A snowboarder starting at rest comes down a slope at an angle of 30 degrees with the horizontal. The skier makes a total vertical descent of 100 m and then coasts along a level section which runs for 400m before entering the beginner's area.

(1) How large must the coefficient of friction be to just prevent the aggressive snowboarder from entering the learning area, and wreaking havoc?

(2) Using the coefficient of friction found in (1) what is the maximum velocity that can be attained by the snowboarder?