у (m) 150 75° v; = 50 m/s Complementary 100 values of the initial angle 0; result in the same value of R. 60° 450 50 30° 15° 50 100 150 200 x (m) 250 Figure 4.11 A projectile launched over a flat surface from the origin with an initial speed of 50 m/s at various angles of projection.

A golf ball is kicked with an initial speed of 31 m/s at an angle of 15° above the horizontal. Calculate the ball's speed at the highest point of its trajectory.

Consider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles. Refer to the figure. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 79.7°?  What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 40.5°?  What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 79.7°, the complement of θ1?

A projectile is fired from the ground with an initial angle of 6.5 degrees. Find the initial speednecessary for the projectile to hit a target on the ground a distance of 8,500 feet away. Round to three decimal places. (Use the equations x=v0cos(theta) and y=-16t2+v0sin(theta)t+h)