Based on observations, the speed of a jogger can be approximated by the relation v= 7.5(1 - 0.04x) 0.3, where v and x are expressed in mi/h and miles, respectively. Knowing that x = 0 at t= 0, determine (a) the distance the jogger has run when t= 1 h, (b) the jogger’s acceleration in ft/s2 at t=0, (c) the time required for the jogger to run 6 mi.

Q: Using the fact that 1 in. = 25.40 mm, convert aspeed of 75 mi/h to units of meters per second.

A: Given that:1 in =25.40 mm.Speed is v= 75 mi/h

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Q: boat race, boat A is leading B by boats are elling at a constant speed of 169 kph. AT TEU, The…

A: Relative velocity is 14.5508 m/sec

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Q: An object weighing 2 pounds is traveling in a circular path of radius 5 feet at a constant speed of…

A: Given data: w=2 poundsr=5 ftv=10 ft/s Need to determine the acceleration of the object.

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A: Given          a=-1.8sinkxk=3rads

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A:

Q: Jack run on a marathon with a speed that can be approximated by the relation v= 6.5(1.2 - 0.05x) ^…

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Q: The displacement of a particle, moving in a straight line, is given by s = 2t + 2t +4 where s is in…

A: Given, Position of a particle as a function of time = s = (2t2 + 2t + 4) m   Velocity (v) of the…

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Q: Q17. A ball is travelling in a straight line with a constant acceleration of 0.5 m/s². How much time…

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Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

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Q: A particle moves along a straight line such that its position is defined by s= (t - 6t +5) m • Part…

A: Given: The position of a particle, s = t^2 – 6t +5 The time, t = 5.9 s

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A: The profile of path is The value are The velocity in x direction is constant

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Q: 1. A world-class sprinter accelerates to his maximum speed in 4.0 s. He then maintain this speed for…

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Q: Q18. A ball is travelling in a straight line with a constant acceleration of 0.5 m/s². If its speed…

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Q: Q19. A ball is travelling in a straight line with a constant acceleration of 0.2 m/s². If its…

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Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

A: Given, Velocity at C = v =  66.19 mph = 97.079 ft/s Initial velocity at A = u = 0 ft/s (Starting…

Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

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Q: A motorist starts from rest at point A on a circular entrance ramp when t=0, increases the speed of…

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Q: Based on observations, the speed of a jogger can be approximated by the relation v = 6.4 (1 −…

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Q: A particle moves along a straight line such that its position is defined by s = (t2 – 6t +5) m Part…

A: Given data: s=t2-6t+5 mt=5.9 s Need to determine the average velocity of the particle.

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Q: An automobile travels along a straight road at 15.65 m/s through a 11.18 m/s speed zone. A police…

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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.