Question

You are on the roof of a building. You throw a ball with an initial velocity of 10 m/s and an angle of 30 degrees with the horizontal. how can you change your throw and give you a larger range? Question 1 options: decrease your angle to 20 degrees. increase your angle to 80 degrees decrease your inital velocity to 8 m/s increase your initial velocity to 12 m/s

Answer 1

Since height of the roof is not given lets ignore the fact we are throwing from a roof

lets find max range with given initial conditions as we were on a flat surface ,obviously that option will still have max range when we are throwing from a roof.

Range,$R=u^{2}sin2\theta /g$

initial conditions

$R=(10m/s)^{2}sin2(30)/g$

$R=8.83m$

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Option 1 decrease your angle to 20 degrees

$R_{1}=(10m/s)^{2}sin2(20)/g$

$R_{1}=6.55m<R$

Option 1 is wrong

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Option 2: increase your angle to 80 degrees

$R_{2}=(10m/s)^{2}sin2(80)/g$

$R_{2}=3.49m<R$

Option 2 is wrong

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Option 3:decrease your initial velocity to 8 m/s

$R_{3}=(8m/s)^{2}sin2(30)/g$

$R_{3}=5.65m<R$

Option 3 is wrong

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Option 4: increase your initial velocity to 12 m/s

$R_{4}=(12m/s)^{2}sin2(30)/g$

$R_{4}=12.71m>R$

Option 4 is Correct

ANSWER: Option 4: Increase your initial velocity to 12 m/s

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