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If a projectile is launched with 3m/s velocity at 60-degree angle, then at highest point its horizontal velocity is

Question

If a projectile is launched with 3m/s velocity at 60-degree angle, then at highest point its horizontal velocity is

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Solution

To determine the horizontal velocity of a projectile at its highest point, we need to consider the components of the initial velocity.

  1. Initial velocity components:

    • The initial velocity (v0v_0) is 3 m/s.
    • The angle of projection (θ\theta) is 60 degrees.
  2. Horizontal component of the initial velocity:

    • The horizontal component (v0xv_{0x}) can be calculated using the cosine function: v0x=v0cos(θ) v_{0x} = v_0 \cdot \cos(\theta)
    • Substituting the given values: v0x=3cos(60) v_{0x} = 3 \cdot \cos(60^\circ)
    • We know that cos(60)=0.5\cos(60^\circ) = 0.5: v0x=30.5=1.5 m/s v_{0x} = 3 \cdot 0.5 = 1.5 \text{ m/s}
  3. Horizontal velocity at the highest point:

    • The horizontal velocity of a projectile remains constant throughout its flight (assuming no air resistance).
    • Therefore, the horizontal velocity at the highest point is the same as the initial horizontal velocity.

Thus, the horizontal velocity at the highest point is 1.5 m/s1.5 \text{ m/s}.

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