Question

Jean dangles her watch from a thin piece of string while the jetliner she is in takes off. She notices that the string makes an angle of 22° with respect to the vertical while the aircraft accelerates for takeoff, which takes about 18 seconds. Estimate the takeoff speed of the aircraft.

Answer 1

tan22=ma/mg= a/g

a= g tan22

You know acceleration.

vf= at you know a, time t.

Answer 2

I keep getting Vf= 1.56 m/s which webassign says is wrong. It's in the chapter about Newtons laws of motion so, even though it is not included in the question, could that have a bearing on my answer, and if so how?

Answer 3

It would help if you put your calculator in degrees, and worked with 22 degrees, not 22 radians. Goodness.

Answer 4

oh, thank you. I forgot to do that after my calc homework