To throw a stone horizontally from the vertical height of 10m as it covers the horizontal distance of 10m find the x-component of velocity (g = 10 ms-2):
Correct answer: C. 7.1 ms-1
- A. 2.5 ms-1
- B. 5 ms-1
- C. 7.1 ms-1
- D. 10 ms-1
Explanation
To solve this problem, we first need to determine the time it takes for the stone to fall 10 meters vertically. Using the equation of motion for vertical displacement, S = Ut + 1/2 at2, where U (initial vertical velocity) is 0, we have:10 = 0 + 1/2 * 10 * t210 = 5t2t2 = 2t = √2 secondsNow, using the time of flight in the horizontal motion equation, Speed = distance/time, we calculate:Speed = 10/√2Speed ≈ 7.1 ms-1The correct answer is 7.1 ms-1, as it accurately represents the horizontal velocity needed to cover 10 meters in the time it takes to fall 10 meters vertically.Other options either underestimate or overestimate the required velocity due to miscalculations in time or distance.
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