Question

An engineer is designing the runway for an

airport. Of the planes that will use the airport,
the lowest acceleration rate is likely to be 5
m/s squared. Starting at 5 m/s, the plane will need to
take off in 11.4 seconds. How long is the
runway?

Answer 1

`\\ x_f=381.9m`

Work:

`\\ x_f=x_0+v_0t+(1)/(2)at^2\\\\ x_f=v_0t+(1)/(2)at^2\\\\ x_f=(5m/s)(11.4s)+(1)/(2)(5m/s^2)(11.4s)^2\\\\ x_f=381.9m`

Hope this helps you. Kinematics can be tricky, but I'm sure you'll get a good grip on it. Have a good night.