Question

Galileo's formula (for falling objects) gives the position of a falling object at time t. Find the formula and use it to figure out how long it would take for an apple dropped from the restaurant at the top of the Space Needle to reach the ground. What would be its velocity when it hits the ground? (The restaurant is 500 feet from the ground.) Explain clearly and completely your work. give references for all sources you use

Answer 1

distance y ft Let the object travel a ť seconds Iy Sooft Acceleration due to gravity }: 32 ft/s? 19 = 324tlsz + using, 5= ut Žat2 u=0 Initial velocity Acceleration a=g=32 sy Displacement . the 0 + 2 x 32+2 y = 16+2 when the body hits ground =) y = 500 feet 500= 16 +² =) t= 5.59 seconds The object takes 5.59 seconds to reach ground Using V= utat Initial velocity u=0 Acceleration a=g = 32 ft/s2 time t =) V = 32t Velocity at when the object hits the ground, t= 5.59 seconds 32 x 5.59 = 178.88 ft/s) The object hits the ground 178.88 ft/s with a velocity Hope This Helps