A football is kicked at ground level with a speed of 400 ms

A football is kicked at ground level with a speed of 40.0 m/s at an angle of 40.0° to the horizontal. How much later does ithit the ground?

Solution

First how long does it take to reach the highest point? This istime t and hence in terms of vertical velocity Vv wehave Vv=gt and then t=Vv/g Vv= Vsin(40.0) Finally the total time in the air is 2t we have ttotal= 2t= 2Vsin(40.0) /g ttotal= 2 x 40.0 sin(40.0) /9.81 ttotal= 5.24s

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