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- The circus rehearses an idea to spice up the act. When the acrobat steps off, a bunch of plastic flowers will be fired at her out of a cannon, and she will catch the bunch as she falls. The bore of the cannon is at the same height as the trampoline. (a) Choose values for the following. None of them can be 0. i. The distance from the bore of the cannon to the trampoline. 18m ii. The initial velocity of the flowers. This must be high enough to reach the acrobat before she lands. 45 m/s (b) Draw a picture. Label the origin and axes. (c) Create a table showing the information you know for the flowers. (d) Determine the launch angle of the flowers so the acrobat can catch them. (e) Calculate all unknowns about the motion of the flowers. (f) Determine the velocity of the bunch of flowers relative to the acrobat at the time she catches themIf the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, then compare their impact velocities. a)The impact velocity when throwing a stone above horizontal will be more than the case when throwing a stone below horizontal. b The impact velocities of the two situations will be the same. c More information is needed to conclude the relative strength of impact velocities. d).The impact velocity when throwing a stone above horizontal will be less than the case when throwing a stone below horizontal. which option is correctRecall that the Range equation gives the horizontal distance a projectile can be launched. Suppose there is a slight breeze so that the range equation is modified in the following way: R(0) : = sin(20) – 0.900 R Part A Use Calculus to determine the angle (in degrees) at which the projectile will reach its maximum range. ? Omaz
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- A record is played by spinning the record so that a circular groove in the vinyl slides under the stylus. Suppose that a record turns at a rate of 33 1/3 rev. min, the groove being played is at a radius of 10.0 cm and the bumps in the grove are uniformly separated by 1.75 mm. At what rate (hits per second) do the bumps hit the stylus? Enter units as hertz (Hz). You will need v=rω ω is in rad/s and 1rev = 2 pi rad.A fighter plane moving 233 m/s horizontally fires a projectile with speed 59 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground? a) 249 m/s Ob) 2660 m/s c) 288 m/s d) 286 m/sA golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 19.5 m/s at an angle of 40.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands. V = i