Projectile Motion of Dart: Calculating Distance and Release Point

[frankfjf]

A dart is thrown horizontally with an initial speed of 11 m/s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ? (b) How far away from the dart board is the dart released?

Is part a basically asking for the vertical motion?

Thanks.

 

[Doc Al]

Is part a basically asking for the vertical motion?

Right. In other words: How far does the dart fall during its flight?

 

[frankfjf]

Just confirming that my formula is right here, wouldn't that be obtained by:

y = 11sin(0).19 - 4.9(.19)^2?

 

[Doc Al]

Right. That gives the y-coordinate of the dart when it hits the board.