### Problem Statement:A girl throws a ball at an inclined wall from a height of 3 ft, hitting the wall at point \( A \) with a horizontal velocity \( v_0 \) of magnitude 25 ft/s. Knowing that the coefficient of restitution between the ball and the wall is 0.9 and neglecting friction, determine the distance \( d \) from the foot of the wall to the point \( B \) where the ball will hit the ground after bouncing off the wall.### Diagram Explanation:- **Initial Conditions**: The girl is positioned on the ground at the base of the wall.- **Wall Inclination**: The wall is inclined at an angle of 60° from the horizontal.- **Height**: The point where the ball is thrown from is at a height of 3 ft.- **Trajectory**: The ball’s trajectory is depicted as a parabolic dashed line starting from the girl’s position, hitting point \( A \) on the inclined wall, then bouncing off and landing at point \( B \).- **Velocity Vector**: An arrow labeled \( v_0 \) points horizontally from the girl’s position towards point \( A \), indicating the initial horizontal velocity of the ball.- **Distance \( d \)**: This is the horizontal distance from the foot of the wall to point \( B \) where the ball hits the ground after bouncing off the wall.This problem involves calculating the distance \( d \) by considering the properties of projectile motion and the coefficient of restitution to determine how the ball behaves after striking the inclined wall.

Angular Velocity is the revolutionary or angular motion of a body. It is equal to the distance…

Answered: A girl throws a ball at an inclined…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

B The sphere at A is given a downward velocity Vo of magnitude 5 m/s and swings in a vertical plane at the end of a rope of length /= 2 m attached to a support at O. Determine the angle q at which the rope will break, knowing that it can withstand a maximum tension equal to twice the weight of the sphere. %3D
3
A ball of mass 1 kg moving with a speed of 2 m/s hits another ball of mass 2 kg at remains at rest if the first ball comes to rest after collision. The coefficient of restitution is
An airline pilot climbs to a new flight level along the path shown. Knowing that the speed of the airplane decreases at a constant rate from 180 m/s at point A to 160 m/s at point C , determine the magnitude of the abrupt change in the force exerted on a 90-kg passenger as the airplane passes point B.
Three identical small spheres, each weighting 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A, which is moving to the right with a velocity v0 = (8 ft/s)i . Knowing that θ = 30° and that the velocities of spheres A and B immediately after the impact are vA = (0.5 ft/s)i and vB = (3.75 ft/s)i + (vB)yj, determine (vB)y and the velocity of C immediately after impact.
: The Balls A and B are of the same size and each is attached to a 1 m cable as shown. The mass of A is 2 kg and the mass of B is 1 kg. The Ball A is released from rest with a 40o angle with the vertical direction as shown. Determine the speed of the Ball B right after the impact if the coefficient of restitution is e = 0.5. Assume the Ball B is at rest before the Ball A hits it.
Need some guidance please...TIA
Freight car A with a gross weight of 138000 lb is moving along the horizontal track in a switching yard at 3.0 mi/hr. Freight car B with a gross weight of 166000 lb and moving at 3.9 mi/hr overtakes car A and is coupled to it. Determine (a) the common velocity V of the two cars as they move together after being coupled and (b) the loss of energy |AE| due to the impact. 3.9 mi/hr Answers: (a) V = B i (b) |AE| = i 3.0 mi/hr mi/hr ft-lb

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS