In the Projectile motion experiment, the range (x) of the projectile is related to the initial angle (0) by: 2 0 x = sin (20) Where vo is the constant initial velocity and g is the gravitational acceleration. The variation between x and is shown in the graph below. From the above graph, determine the following: . Maximum range of the projectile . The angle of the maximum range 1.2 1.1 1 0.9 €0.8 0.7 0.6 0.5 0.4 10 20 30 X vs. 0 40 50 60 e (degree) LITT 70 80

Which of the following expressions is a good mathematical model for the hypothesis given for the range of a projectile  as a function of angle?   y = Ax y = Asinx y = mx + b y = Asin2x

Given the vector techniques you worked on in the lab, answer the follow question: suppose you first walk 12 m in a direction 20° west of north, then 20 m in a direction 40° south of west, then 14 m in a direction 30° east of north, and finally 19 m in a direction 40° east of south.  How far are you (as the crow flies) from your starting point, and what is the compass direction (west of south) of a line connecting your starting point to your final position?

Let A⃗ =6î −4ĵ  and B⃗ =−3î +7ĵ . What is C⃗ =A⃗ −4B⃗ ? Give your answer as a magnitude and direciton. Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):