1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 ft. If the ball rises to a maximum height h= 64.4 ft above the point of release, compute its initial velocity v. and inclination 0. 3. Ans. V. = 80.5 ft per sec; 0 53.1° FIG. P-1109 and P-1110. %3D
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- Y 0 H D A soccer player kicks the ball, which moves as shown in the figure. You are given this information: the angle e and the maximum height H. Calculate the initial speed vo and the horizontal distance D. DATA 0 = angle = 25 degrees; H = 4.4 m; {initial speed} (in m/s) X A: 4.61 OB: 5.76 OC: 7.20 OD: 9.01 OE: 11.26 OF: 14.07 OG: 17.59 OH: 21.99 {horizontal distance) (in m) OA: 33.40 B: 37.74 OC: 42.65 OD: 48.19 OE: 54.46 OF: 61.54 OG: 69.54 OH: 78.583.31 m cannot be the answer?In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'
- Q.2 A placekicker is attempting to make a 58 m field gonl. If the launch angle of the footbnl) is 40°, what is the minimum initinl speed V wvhich will allow the kicker to succeed? 3 m 0 40° 58 m Not to Ecalo1. A cannonball is launched at a 60.0° from the ground at 100.0 m/s. Calculate the maximum height achieved, the distance it traveled horizontally, and the time it took to travel its horizontal distance.Engineering dynamics. Don't use Artificial intelligence tools.
- 2. A particle moves in uniform circular motion, over a horizontal xy- plane. At one instant it moves through the points (2.0 m, 4.0 m) with a velocity of -6.00i m/s and an acceleration of 18.0j m/s?. a) Draw the circular path of the particle and label the velocity vector and the acceleration vector. b) Calculate the x and y-coordinates of the center of the circular path. c) Calculate the period of rotation.2. Peter is a pilot. He needs to deliver emergency supplies to a location that is 1000km away, N 30° W from his air base. The speed of the plane is set to I 600km/h. The wind velocity is 40km/h at 050°. Determine (i) the direction of the plane (ii) the magnitude of the ground velocity and (iii) Will Peter be able to make the delivery within 2 hours? Justify your responds.A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 180 feet under normal weather conditions. If the shells have a launch angle 9 = 61° above the horizontal, determine the common launch speed n for the shells, the separation distance dbetween the launch points A and B. and the time tfrom launch at which the shells explode. Determine the time t; from launch to when the paths cross. 42' 138' Vo e B d- Answer: t = sec
- 2. A projectile is fired at 12.5 m/s at an angle of 53.1° with the horizontal from a point 75.0 m above the ground. a) What maximum height does it reach? b) with what velocity does it strike the ground?2. At an archery contest, a large circular target 5 ft in diameter is laid flat on the ground with the bull's- eye exactly 180 yd (540 ft) away from the archers. Marion draws her bow and shoots an arrow at an angle of 25° above horizontal with an initial velocity of 150 ft/sec (assume the archers are standing in a depression and the arrow is shot from ground level). a) What was the maximum height of the arrow? b) Does the arrow hit the target?4. Given the acceleration as a function of the angle theta, a = 6.5 sin θ + 2.3cos θ i. Find the optimal angle, so the acceleration is maximum. ii. Find the value of the maximum acceleration.