A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?
The cricketer can throw the ball to a maximum horizontal distance of 100 m. To do this the ball has to be thrown with a velocity v at an angle of...
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a problem can have more than one method of solving it but cannot have more than one answers !
Let me tell you where you have gone wrong:
The question was not about what is the height maximum reached by the ball when he had thrown it at 45 deg and achieved 100 m range ! The question was about the ability of the cricketer to throw the ball up !
So its not a single throw. Let me explain you:
1) Suppose you have seen that cricketer throwing that ball throwing 100 m away manytimes with his full force, and you have calculated using the maximum range formula that the cricketer has that much power in his arms. That is his maximum throwing speed (say V_max).
2) After knowing the power of throwing the ball of the cricketer you have estimated using a different formula with speed v_max angle=/=45 deg but 90 deg because now he will be throwing straight up of course and this is the height that was asked in the question.
Now next time tell that cricketer to throw the ball up, you will see that now the answer is
50 m and not 25 m.