Question

A plane stops from 250 mph in 25 seconds. Calculate the planes acceleration. ​

Answer 1

The plane's acceleration is
`-4.47\ m/s^2`

Step-by-step explanation:

Kinematics

Kinematics is the science that describes the motion of objects. When the motion has a constant speed, then it has zero acceleration, If the speed increases in time, the acceleration is positive, and if the speed decreases, the acceleration is negative.

The main formula for accelerated motion is:

`v_f=v_o+a.t`

Where vf is the final speed of the object, vo is its initial speed, a is the acceleration, and t is the time.

The plane was moving at 250 mph and, in 25 seconds, it stopped. The data correspond to the following values of the variables:

vf = 0 (the plane stops)

vo= 250 mph. Since one mile is 1,609 m and 1 hour = 3,600 seconds:

`250*1,609/3,600=111.74\ m/s`

t = 25 sec

We need to find the value of a. Solving for a:

`\displaystyle a=(v_f-v_o)/(t)=(0-111.74)/(25)=-4.47\ m/s^2`

The plane's acceleration is
`-4.47\ m/s^2`