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olchik [2.2K]
3 years ago
15

A fire 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.
Physics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

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

R=\frac{u^{2}Sin2\theta }{g}

2.5=\frac{6.5^{2}Sin2\theta }{9.8}

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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