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A projectile is fired with an initial speed of 37.1 m/s at an angle of 41.2° above the horizontal on a long flat firing range. Determine the total horizontal distance covered.

Answer :

Final answer:

To find the horizontal distance covered by the projectile, you can use the equations of projectile motion. By calculating the time of flight using the given initial speed and angle of projection, and then plugging it into the formula for horizontal distance, you can find the answer.

Explanation:

To determine the total horizontal distance covered by the projectile, we can use the equations of projectile motion. The horizontal distance can be found using the formula:

d = v0 * t * cos(θ)

where d is the horizontal distance, v0 is the initial speed of the projectile, t is the time of flight, and θ is the angle of projection. In this case, the initial speed is 37.1 m/s, the angle of projection is 41.2°, and the time of flight can be calculated using the formula:

t = 2 * (v0 * sin(θ)) / g

where g is the acceleration due to gravity. Plugging in the values, we can calculate the time of flight and then use it to find the horizontal distance covered by the projectile.

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