a particular jet aircraft must reach a speed of 80 m/s in order to take off. If the runway is 1500 m long, determine the acceleration
Vf^2=vi^2+2ad find a. Assume it starts from rest.
sfd
To determine the acceleration of the jet aircraft, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity (Vi) of the aircraft is 0 m/s because it is stationary on the runway, and the final velocity (Vf) is 80 m/s because it needs to reach that speed to take off.
However, we don't have the time (t) given in the problem. Given that the runway is 1500 m long, we need to find the time it takes for the aircraft to reach its takeoff speed.
We can use another formula to find the time:
distance = (initial velocity + final velocity) / 2 * time
In this case, the initial velocity (Vi) is again 0 m/s, and the final velocity (Vf) is 80 m/s. The distance (d) is 1500 m.
Now, we can rearrange the equation to solve for time:
time = (distance * 2) / (initial velocity + final velocity)
Plugging in the values, we get:
time = (1500 * 2) / (0 + 80)
time = 3000 / 80
time = 37.5 seconds
Now that we have the time, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time
acceleration = (80 - 0) / 37.5
acceleration = 2.13 m/s^2
Therefore, the acceleration of the jet aircraft is approximately 2.13 m/s^2.