TPrj23

 In an automobile accident the headlamp cover is broken and a piece travels 4.6 m ( in the original direction of the automobile) before landing on the ground. The piece was initially 0.60 m above the road traveling at v0, the speed of the automobile. What was the speed of the automobile when the cover was broken?

 This is a projectile problem and just to show that the origin of the coordinate system does not have to be (0,0) where the projectile starts, put the origin on the roadway 0.60 m under the piece.

The equations are

When y is zero, the x is 4.6m, and this coincides with t = 0.35 s so

This is about 28 mi/hr.

 

Copyright © Robert M. Oman 2004