An arrow is shot at ground level with an initial speed of 50.0 m/s at an angle of 25.0 $\circ$ above horizontal.What is its x-coordinate when the arrow is on the way up and its y coordinate is 5.00 m above the ground?
A)5.44 m
B)11.4 m
C)84.3 m
D)184 m
E)203 m

Question

Quizplus · Accepted Answer

We can first use the y-coordinate information to find the time of flight. Using the equation y = viy*t + 1/2*a*t^2 and plugging in y = 5.00 m, viy = 50.0*sin(25.0°), and a = -9.80 m/s^2, we get t ≈ 3.73 s.

Next, we can use the x-coordinate information to find the horizontal distance traveled in this time. Using the equation x = vix*t and plugging in vix = 50.0*cos(25.0°) and t ≈ 3.73 s, we get x ≈ 11.4 m.

Therefore, the answer is choice B, 11.4 m.

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