Question

(pleases show work)

A jet is moving East at 16 m/sec when it begins accelerating East at 3 m/sec^2.


a. What is the velocity of the jet in 10 seconds?


b. What is the displacement for the 10 seconds?​

Answer 1

a. 46 m/s east

The jet here is moving with a uniform accelerated motion, so we can use the following suvat equation to find its velocity:

`v=u+at`

where

v is the velocity calculated at time t

u is the initial velocity

a is the acceleration

The jet in the problem has, taking east as positive direction:

u = +16 m/s is the initial velocity

`a=+3 m/s^2` is the acceleration

Substituting t = 10 s, we find the final velocity of the jet:

`v=16 + (3)(10)=46 m/s`

And since the result is positive, the direction is east.

b. 310 m

The displacement of the jet can be found using another suvat equation

`s=ut+(1)/(2)at^2`

where

s is the displacement

u is the initial velocity

a is the acceleration

t is the time

For the jet in this problem,

u = +16 m/s is the initial velocity

`a=+3 m/s^2` is the acceleration

t = 10 s is the time

Substituting into the equation,

`s=(16)(10)+(1)/(2)(3)(10)^2=310 m`