A cannonball is fired with initial speed vo at an angle 30° above the horizontal from a height of 41.2 m above the ground. The projectile strikes the ground with a speed of 1.1vo. Find vo. (Ignore any effects due to air resistance.) X m/s

46. 46 4:04 O O A (VPN KB/s 17.1 80 In the figure, a stone is projected at a cliff of height h with an initial speed of 45.0 m/s directed at an angle 8o = 63.0° above the horizontal. The stone strikes at A, 5.02 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. (a) Number Units (b) Number i Units (c) Number i Units ()

A projectile is launched from point A with speed vo = 37 m/s. Determine the value of the launch angle a which maximizes the range R indicated in the figure. Determine the corresponding value R. Vo = 37 m/s Answers: a = α R= 92 m i 42.7 151.43 12.9 m -R m B

A baseball slugger hits a pitch and watches the ball fly into the bleachers for a home run, landing h=6.5mℎ=6.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=31.35m/s at an angle θf=25.5∘ below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position. Create an expression for the ball’s initial horizontal velocity, v0,x, in terms of the variables given in the problem statement. Calculate the magnitude, in meters per second, of the vertical component of the ball’s initial velocity. Calculate the magnitude, in meters per second, of the ball’s initial velocity. Find the angle above the horizontal, in degrees, at which the ball left the bat.