Question

A body moves from the position (in meter) (6, 3, 5) to the position (in meter) (9, 2, -8) in 8 sec. Calculate the displacement and velocity of the body.

Answer 1

Answer:-

2nd -1st and get disp.

after divided by 8 sec

Answer 2

Given:

A body moves from the position (in meter) (6, 3, 5) to the position (in meter) (9, 2, -8) in 8 sec.

To find:

Displacement and Velocity of body.

Calculation:

Let Displacement be d ;

$\boxed{ \bf{d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} + {(z2 - z1)}^{2} } }}$

Putting available values:

$= > \rm{d = \sqrt{ {(9 - 6)}^{2} + {(2- 3)}^{2} + {( - 8 - 5)}^{2} } }$

$= > \rm{d = \sqrt{ {(3)}^{2} + {( - 1)}^{2} + {( - 13)}^{2} } }$

$= > \rm{d = \sqrt{ 9+ 1+ 169 } }$

$= > \rm{d = \sqrt{ 179} }$

$\boxed{ = > \rm{d = 13.37 \: m}}$

So, Velocity will be Displacement divided by time taken to cover that displacement.

$\rm{ \therefore \: v = \dfrac{d}{time} }$

$\rm{ = > \: v = \dfrac{13.37}{8} }$

$\boxed{ \rm{ = > \: v = 1.67 \: m {s}^{ - 1} }}$

Hope It Helps.