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A foot ball is kicked of with an inirial...

A foot ball is kicked of with an inirial speed of 19.6 m/sec at a projection angle `45^(@)` . A receiver on the goal line 67.4 m away in the direction of the kick starts running to meet the ball at that in stant. What must his speed be if he is to catch the ball before it hits the ground?

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To solve the problem step by step, we can follow these calculations: ### Step 1: Understand the problem A football is kicked with an initial speed of 19.6 m/s at an angle of 45 degrees. A receiver is 67.4 m away from the point of kick. We need to find the speed at which the receiver must run to catch the ball before it hits the ground. ### Step 2: Calculate the range of the projectile The formula for the range (R) of a projectile is given by: \[ R = \frac{u^2 \sin(2\theta)}{g} \] ...
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