A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 16.5 ft/s.  While in the water the ball experiences an acceleration of a = 10 − 0.8v, where a and v are expressed in ft/s2 and ft/s, respectively.  Knowing that the ball takes 3 s to reach the bottom of the lake, determine (a) the depth of the lake, (b) the speed of the ball when it hits the bottom of the lake.

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A: Given data as per question

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Q: If block A is intended to move vertically at a constant rate of 6.26m/s by pulling cord at point B,…

A: Velocity of point B, VB = 1.043 m/s (D). Velocity of pulley C, VC = 2.086 m/s (D).

Q: A ball is dropped from a boat so that it strikes the surface of a lake with a speed of 16.5 ft/s.…

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A: Position of particle  X=1270 t4 - 1280t3 - 1290t2 + 1300t + 1310,  in meter Find, A) t at a=0 B) x…

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A: Given data                   Velocity V =0.18Vox Initial  velocity of air Vo=3.6ms

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Q: The acceleration of a particle is defined by the relation a = 3e-0.2t, where a and t are expressed…

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Q: If block A is intended to move vertically at a constant rate of 4.78m/s by pulling cord at point B,…

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Q: A satellite will travel indefinitely in a circular orbit around a planet if the normal component of…

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Q: If block A is intended to move vertically at a constant rate of 5.12m/s by pulling cord at point B,…

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Q: The motion of a particle is defined by the relation x = 2t^3 – 15t^2+24t +4, where x is expressed in…

A: Givenx=2t3-15t2+24t+4Determine (a) when the velocity is zero, (b) the position and the total…

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Q: The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2. Knowing that the car…

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Q: A group of students launches a model rocket in the vertical direction. Based on tracking data, they…

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.