An archer shoots an arrow at 45 o to the horizontal. The arrow falls to earth ju

Question

An archer shoots an arrow at 45o to the horizontal. The arrow falls to earth just short of a wall 75 m from the archer. Which of the following should the archer do to insure that a second arrow will clear the wall?

a. Determine the height of the wall and move away from the wall that distance

b. Shoot the arrow at less than 45o to the horizontal.

c. Shoot a lighter arrow.

d. Shoot the arrow at more than 45o to the horizontal.

e. Shoot the arrow with a greater velocity.

To solve the problem, write a clear and convincing justification for accepting one of the possible answer choices as the best or most appropriate and for rejecting each of the other choices as less appropriate. Your reasons for rejecting are just as important as your reasons for choosing the best answer.

Please have thorough explanations!

Explanation / Answer

Horizontal distance or range is R = u^2*sin(2*theta)/g

here our aim is to reach 75 m

for theta = 45 degrees the range is maximum whioch means that other than 45 degrees either less or greater than 45 degrees,the range is < 75 m

coming to option a )

if we move so like that tan(theta) = h/R

h = R

theta = 45 degrees,second arrow will clear the wall

coming to b) for angle less than 45 degrees,Range is less than 75 m

coming to option c)

Range R does not depend on mass

coming to e) for the greater speed u ,the range will increases

So the archer can do option a) and option e) to clear the wall

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