Answer to Question #103061 in Physics for Nimra

Question

A jet lands on a aircraft carrier at 84 mile (33m/s).
(a)what is its acceleration if it stops in 27 sec.
(b)what is the displacement of the plane which it is stopping.

Answer 1

Given:

$v_i=33\:\rm m/s;$

$v_f=0\:\rm m/s;$

$t=27\:\rm s.$

(a) The acceleration

$$a=\frac{v_f-v_i}{t}=\frac{0-33}{27}=-1.22\:\rm m/s^2.$$

(b) The displacement

$$d=\frac{v_f+v_i}{2}t=\frac{0+33}{2}\times 27=445.5\:\rm m.$$