On a horizontal plane, object A is projected off the ground at an angle ?A while

Question

On a horizontal plane, object A is projected off the ground at an angle ?A while object B is projected off the

ground at an angle ?B. Both objects are observed to have the same range (as shown in the accompanying

diagram), but object B is in the air twice as long as object A. Which of the following statements is TRUE?

Note: vo is the same for both objects A and B

a) ?A ? 36.86989765

On a horizontal plane, object A is projected off the ground at an angle ?A while object B is projected off the ground at an angle ?B. Both objects are observed to have the same range (as shown in the accompanying diagram), but object B is in the air twice as long as object A. Which of the following statements is TRUE? Note: vo is the same for both objects A and B ?A ? 36.86989765 degree and ?B ? 53.13010235 degree ?A ? 26.56505118 degree and ?B ? 63.43494882 degree

Explanation / Answer

time of flight = 2vsin(theta)/g

Range = v^2sin(2theta)/g

v is same for both

sin2(theta1) = sin2(theta2)

so they have same angle

e) two objects cannot have the same range while one has twice the time

of flight of the other.

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