Chapter 6: Q 122. (page 383)

The projectile is fired at an angle of 30° to the horizontal with an initial speed of $150$ meters per second . Find the range R and height.

Short Answer

Expert verified

The range is $1988.2$ and the height is $183 \cdot 75$ .

Step by step solution

Step 1. Given information.

Consider the given value $ν_{o} = 150$ and $θ$ is $30 °$ .

Step 2. Formula used.

The formula used to find range is $R (θ) = \frac{{ν_{o}}^{2} \sin (2 θ)}{g}$ and to find height isrole="math" localid="1646585858802" $H (θ) = \frac{{ν_{o}}^{2} {(\sin θ)}^{2}}{2 g}$

Step 3. Finding the range and height.

Substitute the values in formula where $ν_{o} = 150, θ = 30 °$

$R (θ) = \frac{{ν_{o}}^{2} \sin (2 θ)}{2 g} R (θ) = \frac{22500 \times \frac{\sqrt{3}}{2}}{9 \cdot 8} R (θ) = 1988 \cdot 2$

Further simplify.

$H (θ) = \frac{{ν_{o}}^{2} {(\sin θ)}^{2}}{_{2 g}} H (θ) = \frac{150 \times \frac{1}{4}}{2 \times 9 \cdot 8} H (θ) = 183 \cdot 7$

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The projectile is fired at an angle of 30° to the horizontal with an initial speed of $150$ meters per second . Find the range R and height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Finding the range and height.

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The projectile is fired at an angle of 30° to the horizontal with an initial speed of 150meters per second . Find the range R and height.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Finding the range and height.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Pure Maths

Discrete Mathematics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

The projectile is fired at an angle of 30° to the horizontal with an initial speed of $150$ meters per second . Find the range R and height.