Answer :
The minimum constant acceleration required for the aircraft to be airborne after a takeoff run of 245 m is 0.49 m/S2. And the minimum constant acceleration required for the aircraft to reach a speed of 150 km/h after a takeoff run of 245 m is 0.86m/S2.
What is acceleration?
Acceleration is the rate of change of velocity, or the rate at which an object is speeding up or slowing down. It is also the second derivative of displacement. Acceleration is measured in meters per second squared (m/s²). It is an important physical phenomenon that is studied in the fields of physics, engineering, and astronomy. Acceleration can be caused by forces, such as gravity, or by changes in velocity due to a change in direction. It is essential for understanding the motion of objects and predicting their future behavior.
A. (a) The required acceleration is given by the equation a = (Vf-Vi)/t, where Vf is the final speed, Vi is the initial speed, and t is the time period. Substituting the values gives a = (119-0)/(245/119), which is 0.49 m/s2.
B. To reach a speed of 150 km/h, the required acceleration is given by the equation a = (Vf-Vi)/t, where Vf is the final speed, Vi is the initial speed, and t is the time period. Substituting the values gives a = (150-119)/(245/150), which is 0.86 m/s2.
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The complete question as follows
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a certain aircraft has a liftoff speed of 119 km/h. (a) what minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 245 m? (b) Assuming the same takeoff run, what is the minimum acceleration the aircraft requires to reach a speed of 150 km/h?