Question

(pleases show work)

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

$s=ut+\frac{1}{2}at^2$

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,

$s=(16)(10)+\frac{1}{2}(3)(10)^2=310 m$