You are given the equations that are used to solve a problem. For each of these, you are to

a. Write a realistic problem for which these are the correct equations. Be sure that the answer your problem requests is consistent with the equations given.

b. Finish the solution of the problem, including a pictorial representation.

1. 100 m = 0 m + (50 cos q m/s)t₁

0 m = 0 m + (50 sin q m/s)t₁ – ½ (9.80 m/s²)t₁²

2. v_x = -(6.0 cos 45­^o) m/s + 3.0 m/s

v_y = (6.0 sin 45­^o) m/s + 0 m/s

100 m = v_y t₁, x₁ = v_x t₁

3. 2.5 rad = 0 rad + w_i (10 s) + ((1.5 m/s²)/2 (50 m)) (10 s)²

ω_f = ω_i + ((1.5 m/s²)/ (50 m)) (10 s)