Question

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The horizontal velocity of the plane is 250 km/h (69.4 m/s). Rescue plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers.

PHY-1103 Fall 2018 Cole Problem 3.32 10 of 12 onstants Part A A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The horizontal velocity of the plane is 250 km/h (69.4 m/s). Rescue plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers (Figure 1) What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climbers' position (see the figure)? Express your answer using three significant figures and include the appropriate units Figure 1 of 1 Value z0 Thrown upward? "y0 Submit Request Answer 235 m Thrown downward? Part B 425 m With what speed do the supplies land? Express your answer using three significant figures and include the appropriate units

Answer 1

Horizontal distance (x) = 425 m V_ox = 69.4 m/sec Horizontal distance (x) = V_ox times t 425 = 69.4 times t t = 6.124 sec y = V_oy t + 1/2 gt^2 -235 = (6.125)V_oy - 1/2(9.8)t^2 -235 = (6.124)V_oy - 4.9(6.124)^2 V_oy = -8.37 m/sec V_oy = -8.37 m/sec (down) b) V_y = V_oy - gt = -8.37 - (9.8)(6.124) v_y = -68.38 m/sec therefore v = squareroot v_x^2 + v_y^2 = squareroot (-8.33)^2 + (-68.38)^2 v = 68.9 m/sec