In 1939 or 1940, Emanuel Zacchini took his human-cannonball act to an extreme: After being shot from a cannon, he soared over three Ferris wheels and into a net (see the figure). Assume that he is launched with a speed of 26 m/s and at an angle of 50°. (a) Treating him as a particle, calculate his clearance over the first wheel. (b) If he reached maximum height over the middle wheel, by how much did he clear it? (c) How far from the cannon should the net's center have been positioned (neglect air drag)?

Problem 4:   An arrow is shot from a height of 1.95 m toward a cliff of height H. It is shot with a velocity of 28 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.99 s later. a) What is the height H of the cliff in meters b) what is the maximum heigh reached by the arrow along its tragectory in meters c) What is the arrow's speed just before hitting the cliff in m/s

Problem 1 ( . You are on one bank of a river at height h want to jump across the river to the opposite bank, which is at the same height as the river horizontal distance d = 1.5 m away. = 2m above the river. %3D d (a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you need to just barely make it to the other side? (b) If you jump at this angle and with the speed you found in (a), what is your speed just before you land on the other side of the river? (c) Suppose that when you land on the other side of the fiver, an average force of 14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.

a projectile is fired from the origin at t 0 with a positive v component, the maximum Hight h can be reached when e equal to a) e = 0, b) e = 90, C) = 45, d) e = 180 y YA = 0 B R a d

jected at a cliff of height h with an initial speed of 42.0 m/s directed at angle 6=60.0° above the horizontal. The stone strikes at A, 5.50 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.

(II) An airplane is heading due south at a speed of 688 km/hIf a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action.[Hint: First draw a diagram.

A ball is shot from the ground into the air. At a height of 7.5 m, its velocity is v = 7.5i + 6.1j m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

A projectile is fired with an initial speed of 40 m/s at angle of 23 degrees above the horizontal on a long flat firing range. Determine (1) the maximum vertical distance reached by the projectile, (2) the total time in the air, (3) the range of the projectile, (4) the velocity of the projectile 2 s after firing.

6) A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 -32x feet per second. The height h of the projectile is modeled by h(x) = 1002 +x where x is the horizontal distance of the projectile from the firing point. When the height of the projectile is 50 feet above the ground, how far has it traveled horizontally?