39.2k views
3 votes
7. Conceptual 03 04 10 pts possible Someone in a car going past you at the speed of 41 m/s drops a small rock from a height of 1.6 m. How far from the point of the drop will the rock hit the ground? The acceleration due to gravity is 9.8 m/s². Answer in units of m.​

7. Conceptual 03 04 10 pts possible Someone in a car going past you at the speed of-example-1
User Marekful
by
4.6k points

1 Answer

0 votes

Answer:

See below

Step-by-step explanation:

Find out how long the vertical velocity and accel cause the rock to ground out....then multiply this time by the horizontal speed....then use pythag theorem for the TOTAL distance

df = do + vo t + 1/2 a t^2 df = final height = 0 do = original = 1.6 m

v o = original velocity = 0 accel = - 9.81 m/s^2

0 = 1.6 + 0 + 1/2 ( - 9.8)(t^2) shows t = .5714 seconds to hit the ground

horizontal distance = .5711 seconds * 41 m/s = 23.43 m

vertical distance = 1.6 m

TOTAL distance = sqrt (( 23.42)^2 + (1.6)^2 ) = 23.48 m

If questioner wants horizontal disance <=====use first answer

if Q wants TOTAL distance <====== use second answer

User Potion
by
5.9k points