Question

if a body is moving with velocity 20 m/ s and an acceleration of 2m / s² is acting on it find velocity after 10 sec and distance travelled by it​

Answer 1

GIVEN :–

• Initial velocity (u) = 20 m/s

• Acceleration (a) = 2 m/s²

TO FIND :–

• Velocity after 10 sec (v) = ?

• Distance travelled in 10 sec (D) = ?

SOLUTION :–

• We know that –

$\\ \dashrightarrow \large { \boxed{ \bold{a = \dfrac{v - u}{t} }}}$

• Put the values –

$\\ \implies { \bold{2 = \dfrac{v - 20}{10}}}$

$\\ \implies { \bold{2 \times 10= v - 20}}$

$\\ \implies { \bold{20= v - 20}}$

$\\ \implies { \bold{ v = 20 + 20}}$

$\\ \implies \large { \boxed { \bold{ v = 40 \: \dfrac{m}{s} }}}$

• Now Let's find travelled distance –

$\\ \dashrightarrow \large { \boxed{ \bold{ {v}^{2} - {u}^{2} = 2as}}}$

$\\ \implies { \bold{ {(40)}^{2} - {(20)}^{2} = 2(2)D}}$

$\\ \implies { \bold{1600 - 400 = 4D}}$

$\\ \implies { \bold{1200 = 4D}}$

$\\ \implies { \bold{D = \cancel \dfrac{1200}{4} }}$

$\\ \implies \large{ \boxed { \bold{D = 300 \: m}}}$

Answer 2

Answer:

Distance Travelled is 300 m