Question

the mass of the ball is 1kg.

Problem 2: A ball is thrown from the top of a 50m building, with an initial velocity vi = 80 at an angle of 0 = 25° a) [4 points] Find the time taken to reach the ground and the range (horizontal distance) to the point of the impact b) 17 points) Find the magnitude and direction of the velocity at the moment of impact. c) 12 points) If the ball does not bounce back, what is the energy dissipated from the impact? d) [5 points) If the ball does bounce back with the same angle as it hits the ground, what is the height of the 1st bounce, given the coefficient of restitutione = 0.8?

Answer 1

Vertical velocity by : Sosinaso. heighest point 80 (as 25° mass of ball M= 1 kg horizontal Velocity Ur = 8060525° Ux: 72.505 mis. dosinas" Bomisu 625-> do Cus25 som y = 33.81 mis. (a) apply ean S: Uy ( +) - 59(+) -50 : 33.81 (t) - (5.8) (+) 4.9 t - 33.81 (t)- so It = 8. 152 sec to time taken to reach on ground Range (A) : Range (R) Ux (t) 72.505 x 8.152 Salonu meter (6) Vy = y - g(t) Vy = 33-81 - 9.8 (8.152) Vyl= 46.08 mis. ख at impact V Coso = Ux - 72.505 Vy assume magnitude is v Coso 72.505 and (Vy)2 + (Ux)2 (46.08) + (72.505) 2 85.91 mis. Imagnitude put into Coso = 72.505 85.91 6 = 32.uu" with ground direction.