Three athletes a b and c participating in a long jump and they have jumped with a same speed by making angles 30⁰,45⁰and 60⁰. Who will be the winner
Answers
Answer:
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Answer:
The athlete 'b' will be the winner.
Explanation:
All three athletes have jumped at the same speed. Hence their initial velocities are the same. These athletes are said to make a projectile motion to the horizontal surface, ground. So all these athletes can be considered projectiles.
The horizontal range of a projectile is given by the equation,
R = u²sin2θ / g
u is the initial velocity, g is the acceleration due to gravity and θ is the angle made by the projectile with the horizontal.
The value of sin2θ will be maximum if θ = 45°.
ie; sin2θ = sin2×45 = sin90 = 1
∴ R = u² / g is the condition for maximum range of flight, which is done by the athlete 'b' who jumps at an angle of 45°.