Question

A body moves from rest with a uniform acceleration and travels 750 m in 5 s. Find the final velocity of the body.

Answer 1

Answer:

v=300m/s

Explanation:

S =750 m

t = 5 s

using S=ut+1/2a(t*t)

750 =1/2a(t*t). ; as u = 0

a=60m/s^2

now using v=u+at

v=60*5;

v=300m/s

Answer 2

AnswEr :

›»› The final velocity of the body will be 300 m/s.

Given :

• Initial velocity of body (u) = 0 m/s
• Distance travelled by body (s) = 750 m
• Time taken by body (t) = 5 sec

To Calculate :

• Final velocity of body (v) = ?

How to Calculate?

❒ To calculate the final velocity of body firstly we need to find the Acceleration produced or Acceleration of body, after that we will Calculate the final velocity of the body on the basis of conditions given above$.$

Since, we are provided with the Distance and the time taken by the body, we can use the second equation of motion to find the Acceleration produced or Acceleration of body.

But according to the given information, body moves from rest, i.e, the Initial velocity of the body will be 0, although the Final velocity will have some value.

Here, we concluded that :

→ Initial velocity of the ball is 0 m/s.

After calculating the acceleration of body we provided with the Initial velocity, acceleration and time taken by the body, we can use first equation of motion to calculate the final velocity of the body.

Calculation :

From second equation of motion

⇒ s = ut + ½ at²

⇒ 750 = 0 * 5 + ½ * a * 5²

⇒ 750 = 0 + ½ * a * 25

⇒ 750 = 0 + 1 * a * 12.5

⇒ 750 = 0 + a * 12.5

⇒ 750 = 0 + 12.5a

⇒ 750 = 12.5a

⇒ a = 60

Now, we have three elements that used in formula, Initial velocity, Acceleration and time taken by body,

• Initial velocity of body (u) = 0 m/s
• Acceleration of body (a) = 60 m/s²
• Time taken by body (t) = 5 sec

And we need to find the final velocity of body.

We can find final velocity of body by using the first equation of motion which says v = u + at

So let's Calculate th final velocity of body.

From first equation of motion

⇒ v = u + at

⇒ v = 0 + 60 * 5

⇒ v = 0 + 300

⇒ v = 300

║Hence, the final velocity of the body will be 300 m/s.║