A project is projected with a velocity of 20 𝑚/𝑠 making an angle of 45° with horizontal. The equation for the trajectory is ℎ = 𝐴𝑥 − 𝐵𝑥 2 where ℎ is height, 𝑥 is horizontal distance, 𝐴 and 𝐵 are constants. The ratio 𝐴 ∶ 𝐵 is (𝑔 = 10 𝑚𝑠 −2 )

April 16, 2022

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Physics Problems

Question: A project is projected with a velocity of 20 𝑚/𝑠 making an angle of 45° with horizontal. The equation for the trajectory is ℎ = 𝐴𝑥 − 𝐵𝑥 2 where ℎ is height, 𝑥 is horizontal distance, 𝐴 and 𝐵 are constants. The ratio 𝐴 ∶ 𝐵 is (𝑔 = 10 𝑚𝑠 −2 )

(A) 1:5

(B) 5:1

(D) 40:1

Answer: option (D)

Solution:

A project is projected with a velocity of 20 𝑚/𝑠 making an angle of 45° with horizontal. The equation for the trajectory is ℎ = 𝐴𝑥 − 𝐵𝑥 2 where ℎ is height, 𝑥 is horizontal distance, 𝐴 and 𝐵 are constants. The ratio 𝐴 ∶ 𝐵 is (𝑔 = 10 𝑚𝑠 −2 )