Question

a body is moving with a velocity of 2m/s accurate a velocity of 10m /s in 5s find its acceleration

Answer 1

Given :-

• Initial Velocity, u = 2m/s
• Final Velocity, v = 10m/s
• Time Taken, t = 5 sec.

To Find :

• Acceleration, a of the body

Solution :-

$\qquad$ ❏ Using First eqⁿ of motion :-

$\qquad\quad\bf\dag\:\bigg\lgroup {\sf {\pink{v = u + at }}} \bigg\rgroup$

$\qquad$ ❏ Putting all known values :-

$\qquad\leadsto\quad \sf {10=2+a(5)}$

$\qquad\leadsto\quad \sf {10-2=5a}$

$\qquad\leadsto\quad \sf {8=5a}$

$\qquad\leadsto\quad \sf {a=\cancel\dfrac{8}{5}}$

$\pink{\qquad\leadsto\quad \underline{\boxed{\sf Acceleration = 1.6m/s² }}}$

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$\therefore\:\underline{\textsf{The acceleration of the body is \textbf{1.6\:m/s²}}}.$

$\qquad$☀️Equations of motion :-

$\qquad$ ⑴ v = u + at

$\qquad$ ⑵ s = ut + ½at²

$\qquad$ ⑶ v² - u² = 2as

• v = final velocity
• u = initial velocity
• s = displacement
• t = time taken
• a = acceleration

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