Étiquette : PROJECTILE
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Cricketer’s Ball Throw: Calculating Maximum Height
Question: A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball? Solution:Calculating the maximum height of the ball Projectile motion: Maximum horizontal distance(Range): Maximum range is attained when the ball is projected at an angle of 45o with…
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Determining Maximum Horizontal Distance of a Projectile
Question: The ceiling of a long hall is 25 m high.What is the maximum horizontal distance that a ball thrown with a speed of 40 ms-1 can go without hitting the ceiling of the hall? Solution: Calculating the maximum horizontal distance Projectile motion image: Maximum height of the projectile: Maximum height of a projectile is…
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Projectile Motion: Angle for Equal Height and Range
Question What is the value of angle of projection for which the height of the projectile (H) and the range (R)of the projectile are the same? Solution: Height and range Maximum height of the projectile (H) Height of the projectile (H) $${H=\frac{u^2 \sin^2\theta}{2g}}$$ Range of the projectile $${R=\frac{u^2\sin 2 \theta}{g}}$$ $${H=R}$$ $${\frac{u^2\sin^2\theta}{2g}=\frac{u^2\sin 2\theta}{g}}$$ $${\frac{\sin^2\theta}{2}=2\sin\theta\cos\theta}$$ $${\frac{\sin\theta}{\cos\theta}=4}$$…
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Projectile Motion: Maximum Height and Range Calculation
Question: A ball is thrown at a speed of 50 ms-1 at an angle of 600 with the horizontal.Find the maximum height reached and the range of the ball (Take g= 10 ms-2 ) Solution: Finding the maximum height of the ball : Initial velocity of the ball u =50 ms-1 Angle made with the…