Chapter 6: Q 123. (page 383)

The projectile is fired at an angle of 25° to the horizontal with an initial speed of $500$ meters per second. Find the range R and height H.

Short Answer

Expert verified

The range is $39 \cdot 08$ and height is $218773 \cdot 6$ .

Step by step solution

Step 1. Given information .

Consider the given initial speed that is $500$ meter per second and $θ = 25 °$ .

Step 2. Formula used.

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

Step 3. Finding the range and height.

Substitute the values $ν_{o} = 500$ and $θ = 25 °$ in the formula .

$R (θ) = \frac{{ν_{o}}^{2} \sin (2 θ)}{g} R (θ) = \frac{{(500)}^{2} \times \sin 50 °}{9 \cdot 8} R (θ) = \frac{250000 \times 0 \cdot 766}{9 \cdot 8} R (θ) = 39 \cdot 08$

Further simplify.

$H (θ) = \frac{{ν_{o}}^{2} {(\sin θ)}^{2}}{2 g} H (θ) = \frac{250000 \times {(0 \cdot 4226)}^{2}}{2 \times 9 \cdot 8} H (θ) = 218773 \cdot 6$

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The projectile is fired at an angle of 25° to the horizontal with an initial speed of $500$ meters per second. Find the range R and height H.

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 25° to the horizontal with an initial speed of 500meters per second. Find the range R and height H.

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

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Pure Maths

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

The projectile is fired at an angle of 25° to the horizontal with an initial speed of $500$ meters per second. Find the range R and height H.