Afire hose held near the ground shoots water at a speed of 6.5 m/s. at what angle(s) should the nozzle point in order that the water land 2.5 m away (fig. 3–36)? why are there two different angles? sketch the two trajectories.

17.72° or 72.28°

Explanation:

u = 6.5 m/s

R = 2.5 m

Let the angle of projection is θ.

Use the formula for the horizontal range

Sin 2θ = 0.58

2θ = 35.5°

θ = 17.72°

As we know that the range is same for the two angles which are complementary to each other.

So, the other angle is 90° - 17.72° = 72.28°

Thus, the two angles of projection are 17.72° or 72.28°.

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