Question

If a person gains 72 m/s after covering 540m. Calculate the time taken.​

Answer 1

3.9 seconds

Step-by-step explanation:

Given:

• Final velocity = 72 m/s
• Distance covered = 540 m

To find:

• Time taken = ?

Solution:

We can use the equation,

v = u + at

where,

• v is the final velocity
• u is the initial velocity
• a is the acceleration
• t is the time taken

We know that the initial velocity is 0, so the equation becomes,

v = at

We can also use the equation,

s = ut + ½* at²

where,

• s is the distance covered
• u is the initial velocity
• a is the acceleration
• t is the time taken

We know that the distance covered is 540 m and the final velocity is 72 m/s, so we can substitute these values into the equation to solve for the time taken.

540 = 0 * t + ½ * a * t²

540 = ½ * a * t²

1080 = a * t²

`t^2= (1080)/(a)`

`t = \sqrt{ (1080)/(a)}`

We know that the acceleration is the change in velocity divided by the time taken, so we can substitute this value into the equation to solve for the time taken.

`t = \sqrt{(1080 )/( 72 m/s)}`

`t = √(15) s`

t = 3.9 s

Therefore, the time taken is t = 3.9 seconds