Answer to Question #103054 in Physics for Nimra

Question

A jet lands on a aircraft carrier at 280mile (126 m/s).
(a)what is its acceleration if it stops in 4 sec.
(b)what is the displacement of the plane which it is stopping.

Answer 1

Given:

$v_i=126\:\rm m/s;$

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

$t=4\:\rm s.$

(a) The acceleration

$$a=\frac{v_f-v_i}{t}=\frac{0-126}{4}=-31.5\:\rm m/s^2.$$

(b) The displacement

$$d=\frac{v_f+v_i}{2}t=\frac{0+126}{2}\times 4=252\:\rm m.$$