Tag: MOTION UNDER GRAVITY
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Tower Height Calculation: Stone Thrown Upward Speed Formula
Question: A stone is thrown upwards with a speed v from the top of a tower.It reaches the ground with a speed 3v.What is the height of the tower? Solution: Thrown up – Sign convention Tower height calculation: Applying third equation of motion $${v^2=u^2+2as}$$ Here initial velocity u=+v Final velocity v= -3v Acceleration due to…
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Vertical Collision of Stones: Analysis and Prediction
Question: A stone is thrown vertically upwards with a velocity of 19.6 ms-1 . After 2 seconds, another stone is thrown upwards with a velocity of 9.8 ms-1 .When and where will these stones collide? Solution: First Stone: Time taken by the first stone to reach its maximum height when thrown with an initial speed…
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Vertical Ball Motion: Distance and Displacement in 3 Seconds
Question: A ball is thrown vertically upward with a velocity of 20 ms-1.Find Solution: Thrown up- Sign convention https://shopify.pxf.io/c/4884043/1295413/13624 (a) Distance travelled by the ball in first three seconds When a ball is thrown vertically upward, the velocity at its highest point is zero (v=0) Here initial velocity of the ball (u) =20 ms-1 Hence…
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Ball Meeting Point Calculation: Free Fall and Vertical Projection
Question: A ball is dropped from height 100 m and another ball is projected vertically up with a velocity 50 ms-1 from the ground along the same line. Find out the position where the two balls will meet? Solution: First case, when the first ball is dropped Motion under gravity- Sign convention $${100-y=\frac{1}{2}gt^2}$$ $${y=100-\frac{1}{2}gt^2}$$ Let…
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Stone’s Fall: Time and Speed Calculation
Question: A stone is dropped from the top of a building of height 20 m.Find the time taken for the stone to reach the ground.Also find the speed of the stone just before hitting the ground. Solution: Time taken to reach the ground Initial velocity of the stone (u) = 0 The displacement for the…
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