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- Two spheres are launched horizontally from a 1.2 mm -high table. Sphere AA is launched with an initial speed of 4.5 m/sm/s . Sphere BB is launched with an initial speed of 2.5 m/sm/s . A. What is the time for the sphere AA to hit the floor? Express your answer using two significant figures. B. What is the time for the sphere BB to hit the floor? Express your answer using two significant figures.When adding vectors (3,30°) + (5,120°) + (7,225°), what is the direction of the resultant? O -27.93 deg O 118.34 deg O 169.7 deg O 241.76 deg O 225 degThe 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 them
- The same projectile experiment was conducted as you did in class. A racquet ball rolls down a track, leaves the track at an initial height of 0.961m above floor, with an exit speed Vexit 1.40m/s at an angle exit 7.46°. The landing spot was repeatedly measured for ten times, and the racquet ball's horizontal range data is provided below. Data run = Landing spot (m) 1 2 0.585 0.590 3 4 0.595 0.590 5 6 0.585 0.580 7 0.580 8 = 9 10 0.585 0.580 0.575HelpA ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer
- Q/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and y(t) = 25.00 + 17.00t -19.00², with x and y in meters and t in seconds. At t= 10 s, a. What is the particle velocity vector vì nunit vector notation? b. What is the particle acceleration vector đìn unit vector notation?A runner runs around a circular track. He completes one lap at a time if t=497s at a constant speed of v=3.9m/s. What is the radius r in meters of the track?what was the runners centripetal acceleration ac in m/s^2 during the run?We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of flight between subsequent bounces, but not the velocities before and after each impact. Question 1 a. Using the kinematics equation for position, find a relationship between the time of flight tn and the velocity of the ball after the nth bounce. You should obtain a quadratic equation that has two solutions for the time tm, but only one of them represents the time of flight. b. Using the kinematics equation for velocity and the relationship determined in the previous step, find the relationship between the velocity right after the nth bounce and the velocity right before the (n +1)th bounce? c. Given your answers to the previous parts of this question and the definition of €, find the coefficient of restitution e in terms of the subsequent times of flight tn and tr+1.
- A student throws a paper airplane horizontally from on top of a building as shown. The plane remains in the air for 4s. Round all values to nearest whole number, if necessary. 20m/s ay = m/s? ay = m/s2 Vx Vy m/s m/s 3. 4W Mot X DThe X G dece X x C G dece x S S Stud X E Grac X Grac XE Grac X G mot X G net X G g to X Revi X a classroom.google.com/u/0/c/M]Y4MTUXMDQ3MZQZ/a/MzExODMzNzQwOTQw/details c) What is the average velocity of each car for the first 10s? 4. A car is travelling at 10 m.s when the driver sees a police car. The driver brakes and decelerates at 4 m.s for 2 seconds. After 2 seconds of braking, the driver is confident that the police have not seen him so speeds up again to his original speed in 4 seconds and then maintains his original speed. 10 6. 8. 7. 5. 41 2. 1. 0 1 2 3 4 5 Time (s) a) What is the acceleration when the driver is speeding up again? 9. 7 8 9 10 b) What is lowest instantaneous velocity of the car and at what time does it occur? c) What is the displacement of the car travel under braking? Type here to search 6, 3. Velocity (m/s)