Two kittens are running toward each other, one is named Chloe and the other is named Luna. Chloe runs at a speed of 2.80 m/s and Luna runs at a speed of 1.60 m/s. If Chloe jumps at an angle of 17.0° while still running toward Luna, at what distance from Luna should Chloe jump to make sure she lands on Luna?

1 answer

You need to know how far each moved during the jump. You know the speeds, so you just need to know how much time the jump took:

v sinθ t - 4.9t^2 = 0

Solve for t and use it to get the distances.