An Object moves along x-axis such that its position varies with time according to the relation x=50t-5t^2.Here x is in meters and t in seconds.Average Speed between t=0 to t=6s.
To find the average speed between t = 0 seconds and t = 6 seconds, we need to first determine the object's displacement during that time interval.
The displacement of an object can be calculated by subtracting its initial position from its final position:
Displacement (Δx) = x(final) - x(initial)
In this case, the object's initial position at t = 0 seconds is given by x(0) = 50(0) - 5(0)^2 = 0 meters.
The object's final position at t = 6 seconds is given by x(6) = 50(6) - 5(6)^2 = 180 - 180 = 0 meters.
Therefore, the displacement is Δx = 0 - 0 = 0 meters.
Average speed is defined as the total distance traveled divided by the time taken. However, since the displacement is zero, the average speed during this time interval is also zero.
So, the average speed of the object between t = 0 seconds and t = 6 seconds is 0 meters per second.