Question 2: The acceleration function of an object doing curvilinear motion is a = {(-0.2t)i+4j+1.5k} m/s², where t is in s. If its initial velocity v, = 8i m/s, and initial position is at the origin, determine the magnitude of its position %3D when t = 3 s.

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A: given,ax(t)=-8+32tinitial velocity…

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A: Given: Motion of a particle starts from point O to point P with negligible speed. After increasing…

Q: find (a) its velocity(b) acceleration after 5s.,(c) plot a graph of the velocity(Y) vs time (X)and…

A: Given, x0 =29cos 95 y0 =29 sin95 vix=4.5 cos 40 viy=4.5 sin40 aix=1.9cos200 aiy=1.9sin200

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

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Q: Q1- A particle starts to moves from origin at the curved Path y= ( 3 sin“ (x?y) + y³x) m With…

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Q: Don't use chat gpt

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Q: A bicycle, initially located xo = 2.3 m at time t-D0 seconds, has a velocity at time t given by v =…

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Q: A particle trajectory is described by x= ( 0.7t° -5.7 t ) m, and y=(1t-4.4 t) m. where t is in…

A: Particle's trajectory: x=0.7t3-5.7t2y=1t2-4.4t 1) At t=4.2 s Plugging value of t in given equations…

Q: Part (a) Write an expression for the magnitude a of the total acceleration of the particle in terms…

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Q: Att = 0, particle A is seen 38 m West of an origin 0 having a 10 m/s Easterly velocity and speeding…

A: a)Particle B is slowing down and particle A is speeding up that means they will meet after some…

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A: At time t=0, the x0, y0 coordinates are (3,0).  The horizontal acceleration is ax=0.62-0.33t…

Q: The velocity of a particle which moves along the s-axis is given by v=8+10+// where t is in seconds…

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Q: assume that a=1.35cm, current directions (into or out of the page), value of I=4.79A. Identify the…

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Q: Question 5: * Starting from x = 0 with no initial velocity, a particle is given an acceleration a =…

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Q: 1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…

A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…

Q: A point moves along the curve y² = 16 x (x and y in meters) in such a manner that the y coordinate…

A: y2=16xx=y216=-4t216=t2........................(1)dxdt=2tvx=2tAt t=5 svx=25=10 m/s

Q: Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in…

A: The downward velocity of cylinder B is vB = 0.75t2 + 0.45t3.The time is 2.46 sec.

Q: The x-coordinate of a particle in curvilinear motion is given by x = 6.0t³ - 2.9t where x is in feet…

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Q: The x-coordinate of a particle in curvilinear motion is given by x = 2.4t3 - 4.3t where x is in feet…

A: Given:- The x coordinate of a particle in curvilinear motion is given by  x= 2.4t3-4.3t where x is…

Q: The x-coordinate of a particle in curvilinear motion is given by x= 2.3r- 2.0t where x is in feet…

A: The x-component of a curvilinear motion is given by the equation,x(t)=2.3t3-2.0ty-component of…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

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Q: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Velocity components: In x-direction, v = 0 In y-direction, v = 6.8 m/s Acceleration components: In…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 2.0t3 - 3.0t where x is in feet…

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Q: The equation of motion of a particle started at t = 0 is given by x =5 sin (20 t + T/3), where x is…

A: The equation of motion of the particle is given as : x=5sin20t+π3 The velocity of the particle is :…

Q: Problem 9: A particle moving along a straight line with constant acceleration has a velocity of 1.7…

A: Given value--- velocity v1 = 1.7 m/s  at t1 = 3.97 sec. velocity v2 = -4.53 m/s at t2 = 5.21 sec.…

Q: Problem 1: The acceleration vector of a particle is giving by a = -27 t2 j m/s“. The particle is…

A: a= accelerationa=-27 t2jvi= initial velocityvi=2i +3 j

Q: Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s +3.6…

A: Given,  a = 0.6s +3.6ft/s2   At s=0 , speed (v)= 1.2 ft/s

Q: 7. An object moves along the horizontal axis with an acceleration of a(t) = sinht +6e³t feet squared…

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Q: A dog running in an open field has components of velocity v_x = 2.0 m/s and v_y = -1.6 m/s at time…

A: Using kinematics equation in component form we can solve the problem as solved below.

Q: The x-coordinate of a particle in curvilinear motion is given by x = 23- 3t, where x is in feet and…

A: Velocity, v=dxdtacceleration, a=dvdt

Q: For a motion with constant acceleration, the equation of average velocity is 2. It is not valid for…

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Q: A vehicle climbed to a hill which is defined by the equation , x2=625(16-y). If the vehicle moves…

A: Solution:   Given Values,   Initial speed(u)=20 m/s Distance(s)=100 m Time(t)=4.72136 s

Q: The x-coordinate of a particle in curvilinear motion is given by x= 2.1t³ -2.4t where x is in feet…

A: The x-component of velocity, vx, is the derivative of x with respect to t, so vx = 6.3t^2 - 2.4. The…

Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s, where…

A: You have given the conditions at t= 6s. Since, the velocity and position is already given at t = 6s.…