(a) Calculate the x-component ( i.e, horizontal component ) of the initial veloc

Question

(a) Calculate the x-component ( i.e, horizontal component ) of the initial velocity of the ball. (b) Calculate the y-component ( i.e, vertical component ) of the inital velocity of the ball. (c) Calculate the x-component ( i.e, horizontal component ) of the final velocity of the ball just before it strikes the ground. (d) Calculate the y-component ( i.e, vertical component ) of the final velocity of the ball just before it strikes the ground (e) Calculate the flight time of the ball. ( i.e, How much time elapses from when the ball is launched until it strikes the ground ?) (f) Calculate the horizontal range of the ball's trajectory. ( i.e., what is the distance from the base of the building to the point where the ball strikes the ground? ? v," 25.0m/s 5 00m

Explanation / Answer

(a) Initial horizontal velocity, v1x = v1cos = 25 * cos36.9o = 20 m/s

(b) Initial vertical velocity, v1y = v1sin = 25 * sin36.9o = 15 m/s

(c) Final horizontal velocity, v2x = v1x = 20 m/s

(d) Final vertical velocity, v2y = (v1y2 + 2gh)1/2 = [152 + (2 * 9.8 * 5)]1/2 = 18 m/s

(e) Flight time of the ball, tf = (v2y - v1y)/g = (18 - 15) / 9.8 = 0.31 s

(f) Horizontal range, R = v1x * tf = 20 * 0.31 = 6.2 m

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