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 the speed of the ball when it hits the bottom of the lake.

Q: e is defined by the relation x = -102 + 8t + 12, where x and t are econds, respectively. Determine…

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Q: A projectile enters a resisting medium at x = 0 with an initial velocity v0 = 900 ft/s and travels 4…

A: Given data as per question

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A: We know that velocity is time derivative of displacement gives the velocity of a particle. In the…

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

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Q: Experimental data indicate that in a region downstream of a given louvered supply vent the velocity…

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

Q: Q19. A 5-lb ball B is traveling around in a horizontal circle of radius ₁ = 4.6 ft with a speed…

A: To find-: The final distance of ball from the hole. Given-: The weight of the ball is W=5 lb. The…

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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…

A: Given equation:

Q: The motion of a particle is defined by the relation x=3t³-6t²-12t+5, where x and t are expressed in…

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

A: The radius of the sun is The given acceleration due to gravity of the sun is The velocity of the…

Q: A particle is moving along a straight line with an initial velbocity of 3 m/s when it is subjected…

A: Given U=3 v=0 a=-1.1v1/2m/s2 Solution: Distance travelled by the particle is given by,…

Q: Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide…

A: Let each box having a mass of m. Free body diagram of a box at point A is given as,     On using…

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…

Q: 2. A motion of a tennis ball is defined by the equations x = 3t +1 and y = 3+ 5t – 4.905ť², where x…

A: Given x = 3t + 1 y = 3 + 5t – 4.905t2 To find Velocity at t = 0.8 s Horizontal distance travelled by…

Q: In a boat race, boat A is leading boat B by 68.2m and both boats are travelling at a constant speed…

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Q: Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide…

A: Given,  The velocity of the conveyor belt=vo Coefficient of friction, μk=0.4 The velocity of the box…

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.