on planet arcon, the maximum horizontal range of a projectile launched at 10 m/s is 20 m. what is the acceleration of gravity on this planet?



Answer :

The acceleration of gravity on this planet is 7.85m/[tex]s^{2}[/tex].

A projectile's horizontal range is the length of the horizontal plane it would traverse before returning to its initial vertical position. A projectile's range is the maximum horizontal distance it can travel. The greatest projection angle is 45 degrees.

The formula to be used here is:

R = [tex]v_{0} ^{2}[/tex] sin2θ / g

where,

R = horizontal range

[tex]v_{0}[/tex] = initial velocity

g = acceleration due to gravity

θ = angle of the initial velocity from the horizontal plane (radians or degrees)

plugging in values we get:

20 = [tex]10_{} ^{2}[/tex] sin2(45) / g

g = 7.85m/[tex]s^{2}[/tex]

Therefore, the acceleration of gravity on this planet is 7.85m/[tex]s^{2}[/tex].

Learn more about he acceleration of gravity here:

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