Answer:
3.9 seconds
Step-by-step explanation:
Given:
- Final velocity = 72 m/s
- Distance covered = 540 m
To find:
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


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 = 3.9 s
Therefore, the time taken is t = 3.9 seconds