As part of an obstacle course, an athlete must kick a soccer ball into a 1 meter wideand 10 meter deep pit such that the ball hits a target at the bottom of the pit. Inpractice, a dynamics student that is participating in the race kicks the soccer ballsuch that the soccer ball will bounce off the far wall of the pit 5 meters below thesurface and head towards the target. If the velocity of the ball before striking thewall at point A is v A = 3.02 – 103 m, determine the n-component of the ball'svelocity vector (in m) after striking the wall. The size of the ball and the target arenegligible relative to the dimensions of the pit, the gravity acceleration must beconsidered as10 m and the coefficient of restitution at point A is e = 0.45.5 тA10 m1m

Answered: Image /qna-images/answer/661e37b3-d2bd-4b8d-acf8-86e936a4c3d8.jpg

Answered: surface and head towards the target. If…

Similar questions

A projectile is fired with an initial speed of 36.2 m/s at an angle of 42.3 ° above the horizontal on a long flat firing range. Determine the maximum height reached by the projectile. Express answer using three significant figures. Determine the total time in the air. Express answer using three significant figures. Determine the total horizontal distance covered (that is, the range) Determine the speed of the projectile 2.00 s after firing.
When adding vectors (3,30°) + (5,120) + (7,225°), what is the magnitude of the resultant? О 3.96 O 2.81 О 5.72 O 6.47 O 4.93
Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.
1
A projectile is launched from the roof of a 10 m high building. The projectile is launched with initial velocity %0 = 60 m/s and a shooting angle with respect to the horizontal 0 = 50° Find: a) The maximum height of the projectile. b) The time it takes for the projectile to reach the maximum height. c) The horizontal distance between the base of the building and the point where the projectile hits the ground. d) The time elapsed between when the projectile is fired and when it hits the ground.
The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target. If the muzzle speed of the bullet is Vo = 309 m/s, there are the two possible angles 0₁ and 02 between the rifle barrel and the horizontal such that the bullet will hit the target. One of these angles is so large that it is never used in target shooting. Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identity may be useful: 2 sine cose = sin 20.) (a) Number (b) Number Units Units 91.4 m O
It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.20 m the north, d, = 2.10 m northeast, and d, = 1.10 m at 6 = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.) N dz dz W- E 'p magnitude m direction o north of east
A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b. What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.
An ant undergoes three successive displacements: ?⃗1=3.00 m,20.0 degrees south of east ?⃗2=2.00 m,north ?⃗3=7.00 m,35.0 degrees west of south a) Carefully sketch and label the three displacements with their tails at the origin. Use a coordinate system in which the positive x-axis is east and the positive y-axis is north. b) Calculate the x-and y-components of each of the displacements. c) Use the results of part b) to calculate the distance between where the ant begins and where it ends. d) What fourth displacement (magnitude and direction) is necessary to return the ant to its initial position?
9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)
Aspa

surface and head towards the target. If the velocity of the ball before striking the wall at point A is VA = 3.02 – 103 m, determine the n-component of the ball's velocity vector (in m) after striking the wall. The size of the ball and the target are