a marble is to be thrown horizontally from a height of 19.6 cm above the ground so that it hits another marble on the ground,2 m away.the velocity of throw should be?
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this question is based on horizontal projectile.
we know, trajectory of horizontal projectile is given by,
where y is vertical distance . e.g., height of particle from the ground.
x is horizontal distance, g is acceleration due to gravity and u is initial velocity of particle.
here, y = 19.6cm = 0.196m, x = 2m
and g = 9.8 m/s² [ experimental value ]
so, y = gx²/2u²
0.196 = 9.8 × (2)²/2u²
or, 0.196 = 9.8 × 2/u²
or, 0.196 = 19.6/u²
or, 100 = u² => u = 10
hence, velocity of thrown should be 10m/s
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