Question

How much time does a bike with an acceleration of 2ms-2 take to increase its velocity from lom/s-2 to 30ms-1

Answer 1

★ Correct Question : How much time does a bike with an acceleration of 2ms-2 take to increase its velocity from 10 m/s to 30 m/s?

★ Answer :

• $\boxed{\sf Time \ taken = 10 \ seconds}$

★ Given :

• Initial velocity (u) = 10 m/s
• Final velocity (v) = 30 m/s
• Acceleration (a) = 2 m/s²

★ To Find :

• Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s²

★ Explaination :

From equation of motion we get :

$\boxed{ \textsf{\textbf{v = u + at}}}$

Substituting values of v, u & a in the equation:

$:\implies \sf 30 = 10 + 2t$

Substract 10 from both sides:

$:\implies\sf 30 - 10 = (10 - 10) + 2t$

$:\implies\sf 20 = 2t$

20 = 2t is equivalent to 2t = 20:

$:\implies\sf 2t = 20$

Dividing both sides by 2:

$: \implies \sf \dfrac{ \cancel{2}t}{ \cancel{2}} = \dfrac{20}{2}$

$: \implies \sf t = \dfrac{10 \times \cancel{2}}{ \cancel{2}}$

$: \implies \underline{ \boxed{ \sf t = 10 \: s}}$

Therefore,Time taken (t) by bike to increase its velocity from 10 m/s to 30 m/s with an acceleration of 2 m/s² is 10 seconds.