Question

The position co-ordinates of an object are given by
x = 2t^2, y = t^2 - 4t, z = 3t - 5. The average
velocity of the particle during the interval 0 - 1 s is
(1) 10 unit
(2) 12 unit
(3) root22 unit
(4) 8 unit​

Answer 1

Answer:

The position coordinates of an object are

...(I)

....(II)

.....(III)

Time t = 0.1 sec

The velocity is the rate of change with the time of position of an object.

For x coordinate,

Put the value of t in the equation

For y coordinate,

Put the value of t in the equation

For z coordinate,

The average velocity is defined as,

Hence, The average velocity of the particle is √24 m/s.