Question

A plane is flying east at 115 m/s. the wind accelerates it at 2.88m/s^2 directly northwest. after 25.0 s what is the velocity (magnitude and direction) of the plane?

Answer 1

i wanna try it

Answer 2

Ok

Answer 3

accelereation has 2 perpendicular component

Answer 4

1 component along west is\[a _{w}=2.88 \cos 45\]

Answer 5

another component along north is\[2.88 \sin 45\]

Answer 6

now after 25 sec the velocity along east wil\[v _{e}=115-2.88 \cos 45 \times 25\]l b

Answer 7

after 25 sec the velocity along north will b\[v _{n}=2.88 \sin 45 \times 25\]

Answer 8

so the magnitude of velocity after 25 sec \[v=\sqrt{v _{e}^{2}+v _{n}^{2}}\]

Answer 9

and the angle of velocity with north will b\[\tan \theta =\frac{ v _{e} }{ v _{n} }\]

Answer 10

m i right?????????

Answer 11

Yeah