$(5\%)$ Problem $8$: A particle's velocity is directed along the $+x-$axis is described by $v(t)=At+B{t}^2,$ where the time $t$ is in seconds and the velocity is in meters

per second and $A=0\mathrm{.}83\frac{m}{s^2}$ and $B=-0\mathrm{.}71\frac{m}{s^3}.$

$33\%$ Part $($a$)$ What is the acceleration, in meters per second squared, of the particle at time $t_0=1\mathrm{.}0s?$

$a(t_0)=-0\mathrm{.}59$

$a(t_0)=-0\mathrm{.}5900\frac{m}{s^2},$ Correct!

$33\%$ Part $($b$)$ What is the displacement, in meters, of the particle between times $t_0=1\mathrm{.}0s$ and $t_1=3\mathrm{.}0s?$

$x=-2\mathrm{.}833$

$x=-2\mathrm{.}833m,$ Correct!

$33\%$ Part $($c$)$ What is the distance traveled, in meters, by the particle between times $t_0=1\mathrm{.}0s$ and $t_1=3\mathrm{.}0s?$

d

m