At one instant a bicyclist is $49\mathrm{.}0m$ due east of a park's flagpole, going due south with a speed of $14\mathrm{.}0\frac{m}{s}.$ Then $26\mathrm{.}0s$ later, the cyclist is

$49\mathrm{.}0m$ due north of the flagpole, going due east with a speed of $14\mathrm{.}0\frac{m}{s}.$ For the cyclist in this $26\mathrm{.}0s$ interval, what are the $($a$)$

magnitude and $($b$)$ direction of the displacement, the $($c$)$ magnitude and $($d$)$ direction of the average velocity, and the $($e$)$ magnitude and

$($f$)$ direction of the average acceleration? $($Give all directions as positive angles relative to due east, where positive is meaured going

counterclockwise.$)$

$($a$)$ Number

Units

$($b$)$ Number

Units

$($c$)$ Number

Units

$($d$)$ Number

Units

$($e$)$ Number

Units

$($f$)$ Number

Units