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Suppose a plane accelerates from rest for 30 s, achieving a takeoff speed of 80 m/s after traveling a distance of 1200 m down the runway. A smaller plane with the same acceleration has a takeoff speed of 40 m/s . Starting from rest, after what distance will this smaller plane reach its takeoff speed?

User Isakavis
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2 Answers

5 votes

Answer:

300 m

Step-by-step explanation:

Find acceleration of first plane

v = a t

80 = a (30) shows a = 2.67 m/s^2

For the smaller plane

v = at

40 = 2.67 t shows t = 14.98 seconds

d = 1/2 a t^2

= 1/2 2.67 (14.98^2) = 299.6 = ~ 300 meters

User Abeboparebop
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4.0k points
2 votes

Answer:600 m is required for smaller plane to reach its takeoff speed. ... So 300 m is required for smaller plane to reach its takeoff speed.

Step-by-step explanation:

User Joemoe
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3.7k points