Question

A projectile is fired with an initial speed of 180 m/s and an angle of elevation of 60°. What is the value of g (acceleration due to gravity)?

Answer 1

To calculate the value of g (acceleration due to gravity) for a projectile fired with an initial speed of 180 m/s and an angle of elevation of 60°, we can use the equation for projectile motion. By substituting these values into the equation and rearranging it, we can solve for g.

Step-by-step explanation:

To calculate the value of g (acceleration due to gravity), we need to use the equation for projectile motion: Y = X * tan(theta) - (g * X^2) / (2 * V^2 * cos(theta)^2). Given that the initial speed (V) is 180 m/s and the angle of elevation (theta) is 60°, we can substitute these values into the equation. Rearranging the equation, we can solve for g.

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3. First, convert the angle from degrees to radians: 60° * (pi/180°).
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6. Then, substitute the values into the equation: Y = X * tan(theta) - (g * X^2) / (2 * V^2 * cos(theta)^2).
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9. Rearrange the equation to solve for g.
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After performing the calculations, the value of g will be determined.