Problem 1.10: Ball Thrown from Cliff - Edubirdie

University:
Georgia Southern University
Course:
ENGR 2232 | Dynamics of Rigid Bodies
Academic year:

2024
Views:

295

Pages:

1
Author:

Jalen W.

Problem 1.10: Ball Thrown from Cliff* From the rim of a cliff, 50 m above sea level, a ball is thrown vertically upwards with an initial velocity of 10 m/s. a) Determine the maximum height the ball reaches above sea level. b) When does the ball impinge on the sea surface? c) Determine the velocity of the ball when impinging on the sea surface. **Matlab Code:** % Given data u = 10; % initial velocity in m/s g = -9.81; % acceleration due to gravity in m/s^2 h_cliff = 50; % height of the cliff above sea level in meters % a) Determine the maximum height reached above sea level v_max = 0; % final velocity at maximum height s_max = (v_max^2 - u^2) / (2 * g); % maximum height above sea level % b) When does the ball impinge on the sea surface? % Using the same equation as in part (a), but this time v = 10 m/s (the velocity when it was thrown from the cliff) t_impact = (u - sqrt(u^2 - 2 * g * h_cliff)) / g; % time when the ball impinges on the sea surface % c) Determine the velocity of the ball when impinging on the sea surface v_impact = u + g * t_impact; % velocity when impinging on the sea surface % Display results fprintf('a) Maximum height reached above sea level: %.2f meters\n', s_max); fprintf('b) Time when the ball impinges on the sea surface: %.2f seconds\n', t_impact); fprintf('c) Velocity of the ball when impinging on the sea surface: %.2f m/s\n', v_impact);

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