A body is projected horizontally from the top of a cliff with a velocity of 9.8m/s. What time elapses before horizontal and vertical velocities become equal? Take g = 9.8m/s2
Correct answer: D. 1s
- A. 9.8s
- B. 0s
- C. 10s
- D. 1s
Explanation
To solve the problem, we use the following steps:1. The horizontal velocity (Vx) remains constant at 9.8m/s, as there is no acceleration in the horizontal direction.2. The vertical velocity (Vy) can be calculated using the formula Vy = gt, where g = 9.8m/s2.3. We set the horizontal velocity equal to the vertical velocity: Vx = Vy = 9.8m/s.4. Substitute the values: 9.8 = 9.8t, solving for t gives t = 1s.Therefore, the time elapsed before the horizontal and vertical velocities become equal is 1 second.The other options are incorrect because they either confuse the initial velocity with time or miscalculate the time taken for the velocities to become equal.
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