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:
[tex]v=u+at[/tex]
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
[tex]a=+3 m/s^2[/tex] is the acceleration
Substituting t = 10 s, we find the final velocity of the jet:
[tex]v=16 + (3)(10)=46 m/s[/tex]
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
[tex]s=ut+\frac{1}{2}at^2[/tex]
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
[tex]a=+3 m/s^2[/tex] is the acceleration
t = 10 s is the time
Substituting into the equation,
[tex]s=(16)(10)+\frac{1}{2}(3)(10)^2=310 m[/tex]
