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

User Bsteo
by
8.1k points

1 Answer

2 votes

Answer:

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

User Fingerup
by
7.5k points
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