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].
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