Skrr, skrr, zoom, zoom. A plane requires a ground run of 1230 [m] to reach a takeoff speed of 101 [m/s]. What is the required acceleration of the plane to reach this takeoff speed.
Question
Skrr, skrr, zoom, zoom. A plane requires a ground run of 1230 [m] to reach a takeoff speed of 101 [m/s]. What is the required acceleration of the plane to reach this takeoff speed.
Solution
To solve this problem, we can use the formula for acceleration which is final velocity squared minus initial velocity squared divided by 2 times the distance. In this case, the initial velocity is 0 (since the plane starts from rest), the final velocity is 101 m/s, and the distance is 1230 m.
So, the acceleration (a) can be calculated as follows:
a = (Vf^2 - Vi^2) / (2*d)
where: Vf = final velocity = 101 m/s, Vi = initial velocity = 0 m/s (since the plane is initially at rest), d = distance = 1230 m.
Substituting the values into the formula, we get:
a = (101^2 - 0^2) / (2*1230) a = (10201 - 0) / 2460 a = 10201 / 2460 a = 4.15 m/s^2
So, the required acceleration of the plane to reach the takeoff speed is approximately 4.15 m/s^2.
Similar Questions
An airplane that is flying level needs to accelerate from a speed of 2.00 × 102 m/s to a speed of 2.40 x 102 m/s while it flies a distance of 1.20 km.What must the acceleration of the plane be?Express your answer in m/s2.
An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.
An airplane that is flying level needs to accelerate from a speed of 200 𝑚/𝑠 to a speed of 240 𝑚/𝑠while it flies a distance of 1200 𝑚. What must the acceleration of the plane be?
A plane travelling at 100 m/s accelerates at 5 m/s² for a distance of 125 m. What is the final velocity of the plane? Please give your answer to 3 significant figures
A fighter jet accelerates at an average rate of 10.43 m/s2 and takes 6.90 sec to take off. If the jet takes off after 250.0 m, what was its final takeoff velocity?72.2 m/s36.4 m/s250.0 m/s 498.8 m/s3.62 m/s
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.