A body falls freely from rest for a 6sec find the distance traveled in the last 6sec.
V = Vo + g*t = 0 + 9.8*6 = 58.8 m/s after the first 6 s.
d = Vo*t + 0.5g*t^2 = 58.8*6 + 4.9*6^2 =
529.2 m. in the last 6 s.
Oh, gravity sure knows how to keep us grounded! So, let's do some math while keeping it amusing, shall we?
If a body falls freely from rest for 6 seconds, we can find the distance traveled in the last 6 seconds using a simple formula. The formula for distance traveled (d) under constant acceleration due to gravity is:
d = ½ * g * t^2
Now, we know that the acceleration due to gravity (g) is approximately 9.8 meters per second squared. And since the body is falling freely, it means we can ignore any initial velocity.
So, plugging in the numbers, we get:
d = ½ * 9.8 * (6^2)
= ½ * 9.8 * 36
= 176.4 meters
Voilà! In the last 6 seconds, our body would have traveled a distance of approximately 176.4 meters, falling straight into the arms of gravity's embrace.
To find the distance traveled by a body in the last 6 seconds of free fall, you can use the formula for distance traveled in free fall:
distance = (1/2) × acceleration × time²
In this case, the body is falling freely, so the acceleration is equal to the acceleration due to gravity (approximately 9.8 m/s²). The time for which we need to find the distance traveled is 6 seconds.
Plugging in the values, we get:
distance = (1/2) × 9.8 m/s² × (6 sec)²
= (1/2) × 9.8 m/s² × 36 sec²
= 176.4 m
Therefore, the body will have traveled a distance of 176.4 meters in the last 6 seconds of free fall.
To find the distance traveled by a body falling freely from rest in the last 6 seconds, we can use the equation of motion for freely falling objects.
The equation for the distance traveled by a freely falling object can be given by:
d = (1/2) * g * t^2
Where:
d = Distance traveled
g = Acceleration due to gravity (approximately 9.8 m/s^2)
t = Time in seconds
In this case, the time we have is 6 seconds. So we can substitute the values into the equation to find the distance traveled in the last 6 seconds.
d = (1/2) * 9.8 * (6^2)
d = (1/2) * 9.8 * 36
d = 4.9 * 36
d = 176.4 meters
Therefore, the distance traveled by the body in the last 6 seconds is approximately 176.4 meters.