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The distance travelled by an object along the axes are given as x= 2t2, y=t2-4t, z=3t-5 . What is the initial velocity of the particle

The distance travelled by an object along the axes are given as x= 2t2, y=t2-4t, z=3t-5 . What is the initial velocity of the particle

Grade:11

1 Answers

Arun
25757 Points
6 years ago
Dear Student,
As given in the qstn.,
x=2t2
(dx/dt)t=0=(Vx)0= initial velocity along x-axis= 4t = 4x0 = 0
y=t2-4t
(dy/dt)t=0=(Vy)0= initial velocity along y axis = 2t –4 = – 4
z=3t-5
(dz/dt)t=0=(Vz)0= initial velocity along z axis = 3
Initial resultant velocity= 0i – 4j+3k
= – 4j + 3k

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