A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x= −5 ft is v= −2 ft /sec, determine the velocity when x = 9 ft.

Q: he x and y components of the displacement in metres of a point are given by the equations x = 12t3 +…

A: Given Data Component of x is : x=12t3+5t2 component of y is: y=t3-2t Now to calculate the velocity…

Q: The car travels around the portion of a circular track having a radius of r=500 ft such that when it…

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Q: A particle moves in a straight line with a constant acceleration of -4 ft/s2 for 6 s, zero…

A: Write the expression for acceleration in differential form Understand that the slope of the…

Q: Determine the velocity and acceleration of a body after 3 sec, if the motion is defined by the…

A: Velocity: It is not but the rate of change of displacement of the body from one place to another…

Q: A particle travels along the path y² = 4x with a constant speed of v = 4 m/s. Determine the x and y…

A: Given data: y2=4xv=4 m/sx=4 m Need to determine the velocity and acceleration.

Q: A particle travels along a straight line with an acceleration of a = (10 - 0.2s) m/s2, where s is…

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Q: The jet plane A travels along the vertical parabolic path as shown in Figure Q1(a). When it reaches…

A: tangential acc and centripetal acc , both are calculated. Then resultant gives the total acc

Q: The velocity of a particle moving in the x-y plane is given by (7.87i+ 3.51j) m/s at time t = 7.91…

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Q: The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet…

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Q: The car is traveling at a speed of 58 mi/hr as it approaches point A. Beginning at A, the car…

A: Given:   VA = 58 mi/hr =58×52803600=85.07 ft/s Let Velocity at B = VB aA-B = 6.1 ft/s2 aB-C = 2.6…

Q: Due to East, Car A travels at an initial velocity of 10 km/hr then constantly increased in velocity,…

A: Given Initial velocity of car A is ua=10 km/hr≈2.78 m/s after 30 minutes, car A maintains a velocity…

Q: The particle travels along the path defined by the parabola y = 0.6x² . If the component of velocity…

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Q: The x-coordinate of a particle in curvilinear motion is given by x = 5.3t3-5.1t where x is in feet…

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Q: The particle travels along the path defined by the parabola y = 0.5x^2. If the component of velocity…

A: Given data: The path of the particle, y=0.5x2. The velocity component, vx=2t m/s. Write the…

Q: Given: The particle travels along the path y = 0.5 x². When t = 0, x = y = z= 0. %3D Find: The…

A: Given Data  y=0.5x2. when t=0, x=y=z=0 t=1sec,   Vx = 5t   m/s

Q: 1. The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k} m/s, where t is in seconds.…

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Q: When t = 0, the train has a speed of 4 m/s, which is increasing at 0.25 m/s2. Determine the…

A: The given data are: vi=4 m/sa=0.25 m/s2t=15 sρA=300 m Here, vi denotes the initial speed, a denotes…

Q: Figure 3 shows the flight of the helicopter as it takes off from A to B. At the instant shown the…

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Q: The ball ejected horizontally from the tube with a speed of 8 m/s. Find the equation of the path, y…

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Q: The acceleration of a particle is defined by the equation a = -k/x. When x = 0.9 ft, v = 12 mph.…

A: Hahah

Q: The car is traveling at a speed of 56 mi/hr as it approaches point A. Beginning at A, the car…

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Q: When t=0, the automobile has a speed of 36 km/h, which is increasing at 0.8m/s'. The radius of…

A: Given that, Speed of the automobile, v=36 km/h,Acceleration of the automobile, a=0.8 m/sec2,Radius…

Q: A particle travels along the circular path 2. x² + y? = r2. If the y component of the particle's…

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Q: When x 10 ft, the crate has a speed of 20 ft/s which is increasing at 6 ft/s. Determine the…

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Q: If a particle moves along a straight path in such a way that s = 2t^2 feet, where t is in seconds,…

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Q: 3 The velocity of a particle which moves along the x axis is given by v = 2 – 4t + 5 tz, where t is…

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Q: particle moves in a straight line according to the law x= 2t^3 -12t^2 + 4t, where x is in meters and…

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Q: 3. A particle travels along a straight line with a velocity v= (12 - 21°) m/s, where t is in…

A: Given that, Velocity of particel, V=12-2t3Dispalcement, s=-10 m, when t=1 sec, The velocity is given…

Q: A particle is traveling along the parabolic path y = 0.25x² . If x = (2t² ) m, where t is in…

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Q: The jet plane travels along the vertical parabolic path. When it is at point A it has a speed of 200…

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Q: A car traveling along the straight portions of the road has the velocitics indicated in the figure…

A: Given data as per question Time is taken from point A to B =3 s Time is taken from point B to C =5 s…

Q: A particle is traveling along the parabolic path y = 0.3x² . If x = 8 m, Vx %3D = 8 m/s, and a, = 3…

A: The calculated magnitude of acceleration at this instant.

Q: point moves along the curve y'= 16 x (x and y in meters) in such a manner that the y coordinate of…

A: Given: y^2=16x y=t^2-4t

Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 20…

A: Answer: The magnitude of the acceleration at that instant is 8.1358 ft/s2.

Q: Q4: The acceleration of the car is shown below in the figure, if you are given that when t was 0 s,…

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Q: The car travels around the portion of a circular track having a radius of r = 600 ft such that when…

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Q: A particle moves in a straight line between two points A and B in a total time of 40 seconds, as…

A: Velocity of the particle when it started from the A is: 0 m/s It acceleration is 4 m/s2 for the next…

Q: At the instant shown, Motor A pulls the cord at an initial speed of 10 ft/s which increases…

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Q: A particle moving along a straight line has an acceleration which varies according to position as…

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Q: A particle moving along a straight line has an acceleration which varies according to position as…

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Q: A particle moves along a path defined by polar coordinates r= (2e^t) ft and θ= (8t^2) rad, where t…

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Q: The tangential acceleration of the centrifuge is given by    a  =  0.5 t    m/s/s    where  t  is in…

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Q: Q1 (a) The jet plane A travels along the vertical parabolic path as shown in Figure Q1(a). When it…

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Q: The velocity of a particle moving in the x-y plane is given by (4.32i + 5.97j) m/s at time t = 5.50…

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Q: A particle is moving along a circular path having a radius of 6 in. such that its position as a…

A: Given data: The radius of the circular path, r = 6 in. Position of the particle, Ɵ = sin3t. The…

Q: A particle is traveling along the straight path. If its position along the x axis is x = (7.7t) m,…

A: Given data: x=7.7ty=0.78x Need to determine the velocity at 4 sec.

Q: Q12. Two objects, A and B, are moving along their respective straight paths, and the directions of…

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Q: The van travels over the hill described by y =(−1.5(10^−3)x^2 + 15 ft. If it has a constant speed of…

A: Given data:The displacement by the van uphill is given by the equation: y=-1.510-3x2+15 The speed of…

Q: Đuring a test, the car moves in a straight line such that for a short time velocity is defined by v=…

A: Given Data  v=0.3(9t2+2t) m/s At t=3seconds

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.