In tennis, one of the primary ways to win a point is by making the ball bounce twice on your opponent’s side of the court. A tennis player hits a ball at a velocity of 50 m/s at a 0 degree angle from 1m high. When the ball bounces it reflects its velocity angle perfectly and loses 30% of its speed. How long does the other player have to return the ball before the second bounce?   

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answerscientific theory;

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft