Question

a body starts from rest and travels with uniform acceleration of 2m/s if the displacement made by it is 25 m the time of travel is

Answer 1

Answer:

4 seconds

hope it helps you

Answer 2

Answer:

Given :-

• A body starts from rest and travels with uniform acceleration of 2 m/s².
• The displacement made by 25 m.

To Find :-

• What is the time travel.

Formula Used :-

$\clubsuit$ Second Equation Of Motion Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{s =\: ut + \dfrac{1}{2} at^2}}}\: \: \: \bigstar$

where,

• s = Distance or Displacement
• u = Initial Velocity
• t = Time Taken
• a = Acceleration

Solution :-

Given :

• Displacement = 25 m
• Initial Velocity = 0 m/s
• Acceleration = 2 m/s²

According to the question by using the formula we get,

$\implies \sf 25 =\: (0)(t) + \dfrac{1}{2} \times (2)(t)^2$

$\implies \sf 25 =\: 0 \times t + \dfrac{1}{2} \times (2 \times t \times t)$

$\implies \sf 25 =\: 0 + \dfrac{1}{2} \times 2 \times t^2$

$\implies \sf 25 =\: 0 + 1 \times t^2$

$\implies \sf 25 - 0 =\: t^2$

$\implies \sf 25 =\: t^2$

$\implies \sf \sqrt{25} =\: t$

$\implies \sf\bold{\red{t =\: 5\: seconds}}$

$\therefore$ The time travel is 5 seconds .