Question

if u = 0,v =20m/sec. time t = 20 sec . then find acceleration and displacement​

Answer 1

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GIVEN :-

Initial velocity(u) = 0 m/s

Final velocity(v) = 20 m/s

Time(t) = 20 secs

TO FIND :-

The acceleration(a) and the displacement(s).

SOLUTION :-

We know,

v = u + at

⇒20 = 0 + a(20)

⇒20 = 20a

⇒a = 20/20

⇒a = 1 m/s²

We also know that,

v² = u² + 2as

⇒(20)² = (0)² + 2 × 1 × s

⇒400 = 2s

⇒s = 400/2

⇒s = 200 m

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Answer 2

SOMETHING YOU NEED TO KNOW

• v = u + at
• v² = u² + 2as
• s = ut + 1/2at²

Given

$\bold{Initial \ velocity}(u) = 0 m/s \\\bold{Final \ velocity}(v) = 20 m/s \\\bold{Time}(t) = 20 secs$

a) Acceleration = ?

$v = u + at\\ \implies 20 = 0 + a(20)\\ \implies 20 = 20a\\\\ \implies a = \dfrac{20}{20} \\ \implies \boxed{\boxed{\bold{a = 1 m/s^{2} }}}}}$

b) Displacement = ?

$v^{2} = u^{2} + 2as \\ \implies (20)^{2} = (0)^{2} + 2 * 1 * s \\ \implies 400 = 2s\\\\ \implies s = \dfrac{400}{2}\\\\ \implies \boxed{\boxed{\bold{s = 200 m}}}}}$