Q1 An object moves along the x-axis according to the equation x (t) =- 31 +121 -6, where tis in seconds. For the time interval t=0 to t=3 s, (1) find the acceleration; (2) calculate the distance traveled; and (3) determine the displacement of the particle.

Q: 5. Figure 3, below, shows a rollercoaster ride. The curve of the rollercoaster is given by the…

A:

Q: The rotational speed of a control device decreases from 2000rev/min to 500rev/min in the manner…

A: to determine- 1) total no. of revolutions made by the device in 6 s. 2) angular acceleration during…

Q: The single axis robot arm given below moves parallel to the paper plane around the O point. a. Find…

A: The angular displacement = 60 degreesThe time, t = 3secThe initial and final velocity, u, v = 0

Q: Below is a motion diagram for an object that moves along a linear path. The dots are separated by…

A: Given data :- To determine :-

Q: The v -t graph for the motion of a car as it moves along a straight road is shown. When t = 0, s =…

A:

Q: LQ1], The motion of a particle is "defined the position coordinates : by [x = t" - 3t+t], where…

A: Given Data⇒ Motion of particle is defined by : X=t4-3t2+t t=3 s

Q: a) Consider the crank-slider mechanism in Figure Q1.a. The symbols r and s stand for the length of…

A: Given data: Consider the diagram as shown below.

Q: a.) velocity and b.) displacement.

A: Derivation for velocity and displacement.

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…

Q: The velocity of a particle is v = {2i+ (6 – 2t)j} m/s, where t is in seconds. Part A If r = 0 when t…

A:

Q: 8 A car is traveling along a track in the shape of a curve with polar equation r = 3+2 cos(0) (5,0)…

A: To determine:(a) how much time is required to complete one trip around the track when the car…

Q: Each of four particles move along the x-axis. Their positions (in meters) as functions of time (in…

A: Introduction In this problem we will calculate the velocity and acceleration of the particle and we…

Q: Suppose a particle is moving along the x-axis so that its position at time t is given by the formula…

A: The velocity is nothing but the first time derivative of the distance covered by the particle. The…

Q: A belt is running around a gear as shown. The total acceleration of a point P on the belt in contact…

A:

Q: A silver dollar is dropped from the top of a building that is 1377 feet tall. Use the position…

A: givenbuilding height h=1377ftposition funtion St=-16t2+Vot+So

Q: One of the more well-known tests is crash testing. The car is timed and recorded going in two…

A: v(t) is given. Values are found out at each time. a(t) = dv/dt  is used to get the acceleration.

Q: 4. The graph of the velocity of a particle moving on an x-axis is given. The particle starts at x =…

A:

Q: The velocity of a particle is given by v = 27t² - 80t - 253, where v is in feet per second and t is…

A: GivenV=27t2-80t-253t=4s

Q: is the time in seconds. For the time interval t=0 to t=10s. (a) plot the position, velocity, and…

A:

Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

A:

Q: The position of a particle that moves in free fall motion is defined by x = -3t² + 12t - 6 m, where…

A: Relation between position and time is given. For the time interval t = 0s to 3s, it is required to…

Q: A particle travels along the circular curve from A to B in 1 s. The particle takes 3 s to go from A…

A:

Q: The v -t graph for the motion of a car as it moves along a straight road is shown. Whent = 0, s = 0.…

A:

Q: The graph below represents the motion of a car travelling horizontally along a straight stretch of…

A: Displacement of the car between t=1sec and t=4sec Displacement = Area between t=1 and t=4sec of…

Q: The position of a particle is given by s = 0.39t3 - 0.66t2 - 2.01t + 5.28, where s is in feet and…

A:

Q: par HOVIng alon s position described by the function =(5t4+6t2+2t+5)m, where t is in s.At

A: Given Data⇒ Position of particle is described by the function : x=5t4+6t2+2t+5 t=12 s

Q: The cart shown has the following velocity as a function of time. a. What is the acceleration at 50…

A: From the given plot, v = 0 m/s at t = 0 s v = 8 m/s at t = 100 s v = 0 m/s at t = 200 s It is…

Q: This prelab question is about the experimental setup shown in the Lab Manual as Figure 1 for…

A: In theory we assume ideal conditions (that are not practical or applicable in real world). Hence…

Q: Two small objects of mass mo and a rotating platform of radius R and rotational inertia I, about its…

A:

Q: Determine the average speed for the 15-s time interval. Express vour answer to three significant…

A: Given Data:: v=0.6t² for time interval 0<t<5s.

Q: Block B moves downward with a constant velocity of 20 mm/s. At t = 0, block A moves upward with…

A: Given data as per question vB=20 mms(vA)0=30 mmsconsidering diagram 3yA+4yB+xc=constant3vA+4vB+vc=0…

Q: a) the velocity V when x = 2 m. b) the acceleration when x = 2 m.

A:

Q: The position of a particle that is moving along a horizontal x- axis is given by x = (t³ - 3t² - 5)…

A: Displacement is the distance between the initial position and final position. So, the displacement…

Q: Q.1 An object moves along the x-axis according to the equation x (t) =- 3t² +12t – 6, where t is in…

A: Given equation  x(t)=-3t2+12t-6 time interval, 0 to 3sec  Using the v=dx/dt a=dv/dt

Q: wo tractors leave point o at the same time and drive in the directions shown. Tractor A is traveling…

A: Given data is

Q: The position x of a particle varies with time as x = at²-bt³. The acceleration of particle is zero…

A: Given, Position x of a particle as a function of time = x = a t2 - b t3    When position as a…

Q: The motion of a body travelling along the x-axis is plotted in the graph below. What is the distance…

A:

Q: Consider an object moving along a line with the given velocity v. Assume t is time measured in…

A: Given-Infromation: vt=3t2-36t+1050,8 To-Determine: a. Motion in a positive or negative direction. b.…

Q: • 1. A particle position given by s(t) = 4 t2 - 32 t +36 with s in meters and t in seconds. At what…

A: 1.Given:S(t)=4t2-32t+36For particle to stop the velocity must be…

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.