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Open book and notes Solve the following problems to collect 100 points for the f

ID: 1397289 • Letter: O

Question

Open book and notes Solve the following problems to collect 100 points for the full credit: 1. (8 points). A ball is thrown horizontally from a 22-m-high tower with a speed of 14 m/s. Determine a) Time for the ball to reach the ground; b) The distance from the base of the tower to the point where the ball lands. 2. (12 points). launched from the origin with a velocity of 10.0 m/s at an angle of 45.0 degrees nhore the An object is object 2.00 second horirontal What is the yelocity (hoth the magnitude and the direction) of the

Explanation / Answer

1)
A) Time of flight = T = sqrt(2*h/g) = sqrt(2*22/9.81) = 2.11 S

B) Ranhe R = u*T = 14*2.11 = 29.54 m

2) vx = ux = 10*cos(45) = 7.07 m/s

vy = uy - (g*t) = (10*sin(45))-(9.8*2) = -12.52 m/s

magnitude is sqrt(7.07^2+12.52^2) = 14.4 m/s

direction theta = atan(-12.52/7.07) = -60.5 degrees

60.5 degrees below the horizontal