A particle moves along the $\backslash ($ x $\backslash )$ axis. It is initially at the position $0\mathrm{.}290$ m $,$ moving with velocity $\backslash (0\mathrm{.}210\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and acceleration $\backslash (-0\mathrm{.}350\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ).$ Suppose it moves with constant acceleration for $5\mathrm{.}50$ s $.$

$($a$)$ Find the position of the particle after this time.

m

$($b$)$ Find its velocity at the end of this time interval.

$\backslash (\backslash$checkmark $\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash )$

Next, assume it moves with simple harmonic motion for $5\mathrm{.}50$ s and $\backslash ($ x$=0\backslash )$ is its equilibrium position. $($Assume that the velocity and acceleration is the same as in parts $($a$)$ and $($b$).)$

$($c$)$ Find its position.

The response you submitted has the wrong sign. m

$($d$)$ Find its velocity at the end of this time interval.

$\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash )$