Problem

Water is sprayed at an angle of 90° from the slope at 20 m/s. Determine the range R.

Water is sprayed at an angle of 90° from the slope at 20 m/s. Determine the range R.

Step-by-Step Solution

Solution 1

Draw the following projectile diagram of water sprayed.

Picture 7

Calculate the angle, from the diagram.

Write the following equation of motion along horizontal direction.

Here, is the horizontal distance travelled by water jet in time t, is the horizontal distance travelled at time is zero, and is the initial velocity along horizontal direction.

Substitute for , 0 for , and for .

Substitute for and for .

…… (1)

Write the following equation of motion along vertical direction.

Here, is the vertical distance travelled by water jet in time t, is the vertical distance travelled at time is zero, is the initial velocity along vertical direction, and

is the acceleration due to gravity.

Substitute for , 0 for , and for .

…… (2)

Substitute for , for , for , and for .

From equation (1),

Substitute for .

Therefore, the range is .

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