Question

A Cessna 150 aircraft has a lift-off speed of approximately 125 km/h. What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 165 m? Answer in units of m/s 2 . 010 (part 2 of 3) 10.0 points What is the corresponding take-off time? Answer in units of s. 011 (part 3 of 3) 10.0 points If the aircraft continues to accelerate at this rate, what speed will it reach 15.1 s after it begins to roll? Answer in units of m/s.

Answer 1

Part a)

`a = 3.65 m/s^2`

Part b)

`t = 9.5 s`

Part c)

`v_f = 55.1 m/s`

Step-by-step explanation:

Part a)

As we know that it starts from rest and moves on runway by total distance 165 m

so we will have

`v_f^2 - v_i^2 = 2ad`

`v_f^2 - 0 = 2(a)(165)`

`v_f = 125 km/h = 34.7 m/s`

now we have

`a = 3.65 m/s^2`

Part b)

Now for take off time we will have

`v_f - v_i = at`

`34.7 - 0 = 3.65 t`

`t = 9.5 s`

Part c)

`v_f = v_i + at`

`v_f = 0 + (3.65)(15.1)`

`v_f = 55.1 m/s`