One of the more well-known tests is crash testing. The car is timed and recorded going in two separate and opposite directions. The two times are averaged together to achieve the commonly accepted 0 to 60 time. Given this brief review, let us suppose that the velocity (in feet per second) of an automobile starting from rest is given by this model v = 80t/(t + 5). Determine the velocity and acceleration of the mobile when t=0, t=10, t=20, t=30, t=40, t=50, and t=60.

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A: To plot: The graph of displacement, velocity and acceleration with time for first 10 second. Given:…

Q: The displacement of a particle is given by s = 4t³ - 60t² + 100t - 58 where s is in feet and t is in…

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Q: if the relation is : x=-153 + 10t + 4 1- the displacement between t1=2 ,t2=3  2- the magnitude of…

A: Given: x=-153+10t+4 at t= 2 x1=-153+10(2)+4 at t=3 x2=-153+10(3)+4 Displacement between t1 = 2 and…

Q: . If the initial position and initial velocity of a vehicle are known and a record is kept of the…

A: Yes we can compute the vehicle’s position after a certain time.

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: - Example: Give the positions s=f(t) of a body moving on a line, with s in meters and t In second.…

A: Given data  s = f(t) = t44-t3+t2                     0≤t≤3   To determine  (i) body's displacement…

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Q: A particle starts from rest at x= -2.5 m and moves along the x-axis with the velocity history shown.…

A: Solution; at t=0 x= -2.5 m v=0 for t = 0 to t= 0.8 a=dvdt=3.8-00.8=4.75 m/s2v0.53=at=4.75×0.53=2.52…

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A: Given :-  S = 1/10 + (t^3 + 6t^2 + −4 t)

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Q: In an experiment to test Newton’s second law of motion, we measure the acceleration of two masses (2…

A: given: mass of first object= 2 kg mass of second object=3 kg tension on the rope= T

Q: ft an initial A truck travels around a portion of a circular track. The car initially has a velocity…

A: Given data : Radius of track = 350 ft Initial velocity = 1 ft/s  tangential acceleration = 0.002 t…

Q: The following data describes the motion of a body through a period of 10 minutes. Time, 1, (min) 0 1…

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Q: Example 3: Variable acceleration Given that the velocity of a particle changes with time such that…

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Q: In a physics lab experiment, you release a small steelball at various heights above the ground and…

A: Equations of motion in a straight linev =u+ats = ut+12at2v2-u2 = 2asv= Final velocity u = Initial…

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Q: The electronic throttle control of a model train is programmed so that the train speed varies with…

A: by performing the following steps, we can calculate the total time required by the train to complete…

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Q: The position of a particle is given by s = 0.23t³ -0.77t² -2.50t + 5.65, where s is in feet and the…

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Q: At t=​0, a train approaching a station begins decelerating from a speed of 96 mi/hr according to the…

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Q: A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the…

A: A) As shwon in the figure- The velocity is constant from t=4sec to t =10secSo the acceleration is…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: Example (10): The box slides down the slope described by the equation (y- 0.05 x²) m, where is in…

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A: Given data,r=cos2θθ=30°θ˙=1.95 rad/sθ¨=4.84rad/s2

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Q: i) The velocity-time (v-t) graph of an object is shown in the figure below velocity (m/s) 80 60 40…

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Q: Problem 1. A particle moves along a straight line in such a manner in such a manner that its…

A: Givens=110+t3+6t2-4tt=10s

Q: Example: u = xt+2y v = xt - yt Given: w= 0 What is the acceleration at a point x=1 m, y=2m, and at a…

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Q: An electric car is subjected to acceleration tests along a straight and level test track. The…

A: Integration of velocity equation which is function of time will give displacement equation of the…

Q: The electronic throttle control of a model train is programmed so that the train speed varies with…

A: Answer: 49.504 sec  the accurate answer is 49.504 instead of 50.8 For a step-by-step solution have a…

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Q: 500 N 500 N VFO V=0 9 600 N H=0.20 S. 3.0 m z-

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Q: A snowboarder’s velocity is tracked by a pulse-laser velocimeter as she descends the slope. These…

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Q: (a) A large rotating cylinder uniformly increases in angular speed from rest to 0.180 rev/s in 35.0…

A: for part (a) Given data  initial speed (N1) = 0 final speed (N2) = 0.180 rev/s time (t) = 35 s…

Q: Q1/ The figure below shows such an LSPB trajectory, where the maximum velocity V = 60 deg/sec. In…

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Q: F12-9. The particle travels along a straight track such that its position is described by the s-1…

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Q: A pulley, starting from rest, is given an acceleration of 0.5 rad/s. What will be its speed in…

A: As per given question    A pulley, starting from rest, is given an acceleration of 0.5 rad/s. What…

Q: Q3: Suppose the velocity of a car at any time t is given by the equation: Vx=60 m/s+ (0.5 m/s^3) t^4…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: At the bottom of a loop in the vertical plane, an airplane has a horizontal velocity of 506.94 km/hr…

A: distance betwewn plane and radar,r=548.642+731.522r=914.4 mθ=tan-1548.64731.52θ=36.869ohoeizontal…

Q: Example (10): The box slides down the slope described by the equation (y- 0.0s x) m. where is in…

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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.