Question:
A ball of mass \( m \) is projected upward with a speed \( v_0 \). The speed at a height \( h \) is (Neglecting air resistance)
A ball of mass \( m \) is projected upward with a speed \( v_0 \). The speed at a height \( h \) is (Neglecting air resistance)
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For conservative forces, motion depends only on energy, not on path or direction.
Updated On: May 1, 2026
- independent of angle and direction of projection
- independent of mass, angle and the direction of projection
- dependent on the direction of projection
- dependent on the shape, size and mass of the ball and angle of projection
- dependent on mass of the ball but independent of the angle and direction of projection
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The Correct Option is B
Solution and Explanation
Concept:
Using energy conservation: \[ \frac{1}{2}mv_0^2 = \frac{1}{2}mv^2 + mgh \]
Step 1: Simplify
\[ v^2 = v_0^2 - 2gh \]
Step 2: Observations
- Mass cancels out - No dependence on direction or angle
Step 3: Final conclusion
\[ \boxed{\text{Independent of mass, angle and direction}} \]
Using energy conservation: \[ \frac{1}{2}mv_0^2 = \frac{1}{2}mv^2 + mgh \]
Step 1: Simplify
\[ v^2 = v_0^2 - 2gh \]
Step 2: Observations
- Mass cancels out - No dependence on direction or angle
Step 3: Final conclusion
\[ \boxed{\text{Independent of mass, angle and direction}} \]
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