Question

A train moves from rest to a speed of 25 m/s in 30 seconds. What is the magnitude of its acceleration?​

Answer 1

Answer:

Explanation:

Given,

Initial velocity of bike, u = 0 m/s (As starts from rest)

Final velocity of bike, v = 25 m/s

Time taken by bike, t = 30 seconds

To Find,

Acceleration by bike, a

Formula to be used,

1st law of motion,

v = u + at

Solution,

Putting all the values, we get

v = u + at

⇒ 25 = 0 + a × 30

⇒ 25 = 30a

⇒ 25/30 = a

⇒ a = 0.83 m/s²

Hence, the acceleration is 0.83 m/s².

Answer 2

Given that , A train moves from rest to a speed of 25 m/s in 30 seconds .

Exigency To Find : The magnitude of Acceleration of train ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀Given that ,

⠀⠀▪︎⠀The initial velocity ( u ) of train is 0 m/s [ as , train starts from rest ] .

⠀⠀▪︎⠀The final velocity ( v ) of train is 25 m/s .

⠀⠀▪︎⠀Total Time taken ( t ) is 30 seconds .

⠀⠀⠀⠀⠀⠀⠀⠀⠀¤ Finding Magnitude of Acceleration of Train :

$\dag\:\:\pmb{ As,\:We\:know\:that\::}\\\\ \qquad \bigstar \:\: \bf Acceleration \: : \: \sf The \: rate \:of \: of \: change \:of\: velocity\:is \:known \: as \: Acceleration \:. \:\\\\ \qquad\maltese\:\:\bf Formula \:for \: Acceleration\::$

$\qquad \dag\:\:\bigg\lgroup \pmb{\frak{ Acceleration \:(\: a\:)\:: \dfrac { v - u}{t} }}\bigg\rgroup$

⠀⠀⠀Here , v is the final velocity , u is the Initial velocity , t is the total time taken and a is the Acceleration.

$\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \dfrac { v - u}{t} \:\:\\\\\qquad \underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\\\\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \dfrac { v - u}{t} \:\:\\\\\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \dfrac { 25 - 0}{3} \:\:\\\\\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \dfrac { 25 }{3} \:\:\\\\\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \cancel {\dfrac { 25 }{3}} \:\:\\\\\qquad \dashrightarrow \sf Acceleration \:(\: a\:)\:=\: \:0.833 \:\:\\\\\qquad \therefore \pmb{\underline{\purple{\frak{ \: Acceleration \:(\: or\:\:a\:)\:=\: \:0.833\:m/s^2 }} }}\bigstar$

$\qquad \therefore \:\:\underline {\sf Hence, \:The\:Acceleration \:is \: \bf 0.833\:m/s^2 \:}$