Question

please clear hand writing and show all the work thanks in advance

Problem 1: Projectile motion Famous American football player Cam Newton throws a football at a speed of 27 ms -- and at an angle of 10° above the horizontal. He releases it at a height of 2 m above the ground. A defender 12 m away jumps to intercept the ball. If the defender can reach to 3.5 m above the ground are they able to intercept the pass? Assume the only force on the ball is gravity.

Answer 1

U-27 ms.' op JO The homizontal velocity is = 27 ms 'cos 10° 26.59m5' The defender is 12 m away. . The time it takes the ball to get to the defender 12 m is, t = 26.59m5 0.455 1 Initial velocity in the vertical dinedion is Vy = 27m5' sin 10° - 4.69m5! :: Time the ball takes to reach the highest point is 4.69ms ť= 4.69 = 0.485. 9 9.81ms '. The ball gets to the defendes before attaining the highest point in its path. ... Height of the ball at t=0-45s ho vyt - 1/2 gt t ho [hosinitial height of the ball= 2ml 4:69m5'x 0.455 - 5x9-81 m3** 0.453+2m

..h=3.12 m <3.5m Since the defender can reach to 3.5m above the ground, the defendea will succer the pass. cessfully intercept