An airplane traveling 245 m/s east experiences turbulence, so the pilot slows down to 230 m/s. it takes the pilot 7
seconds to slow down to this speed. what is the acceleration of the plane? round your answer to the nearest
hundredth.
2.14 m/s2
0 -2.14 m/s2
67.86 m/s2
0 -67.86 m/s2
ctivity

The acceleration of the plane is -2.14 m/s² ⇒ 2nd answer

Explanation:

Acceleration is the rate of change of velocity

The unit for acceleration is meters per second square

The rule of the acceleration is: →

where a is the acceleration, u is the initial velocity, v is the final velocity

and t is the time

An airplane traveling 245 m/s east experiences turbulence so the pilot

slows down to 230 m/s

It takes the pilot 7  seconds to slow down to this speed

We need to find the acceleration of the plane

Lets use the rule above

→ u = 245 m/s , v = 230 m/s , t = 7 seconds

→

→

→ The acceleration is -2.14 m/s²

The acceleration of the plane is -2.14 m/s²

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west