The range R of a projectile is R = sin(20) where vo is the initial velocity in feet per second and vo 32 is the angle of elevation. If vo = 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. Select one: a. 2811 ft * O b. 2593 ft O c. 5623 ft O d. 4568 ft O e. 5186 ft Incorrect

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Chapter1: Units, Trigonometry. And Vectors
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The range \( R \) of a projectile is given by the formula:

\[
R = \frac{v_0^2}{32} \cdot \sin(2\theta)
\]

where \( v_0 \) is the initial velocity in feet per second and \( \theta \) is the angle of elevation. If \( v_0 = 2300 \) feet per second and \( \theta \) is changed from \( 13^\circ \) to \( 14^\circ \), use differentials to approximate the change in the range. Round your answer to the nearest integer.

**Select one:**

- a. 2811 ft ❌ Incorrect
- b. 2593 ft
- c. 5623 ft
- d. 4568 ft
- e. 5186 ft
Transcribed Image Text:The range \( R \) of a projectile is given by the formula: \[ R = \frac{v_0^2}{32} \cdot \sin(2\theta) \] where \( v_0 \) is the initial velocity in feet per second and \( \theta \) is the angle of elevation. If \( v_0 = 2300 \) feet per second and \( \theta \) is changed from \( 13^\circ \) to \( 14^\circ \), use differentials to approximate the change in the range. Round your answer to the nearest integer. **Select one:** - a. 2811 ft ❌ Incorrect - b. 2593 ft - c. 5623 ft - d. 4568 ft - e. 5186 ft
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