MULTIPLE CHOICE

At $t=0,$ a particle leaves the origin with a velocity of $9\mathrm{.}0\frac{m}{s}$ in the positive $y$ direction and moves in the $xy$ plane with a constant acceleration of $(2\mathrm{.}0i-4\mathrm{.}0j)\frac{m}{s^2}.$ At the instant the $x$ coordinate of the particle is $15$ m $,$ what is the speed of the particle?

a$.,10\frac{m}{s}$

b$.16\frac{m}{s}$

c$.,12\frac{m}{s}$

d$.,14\frac{m}{s}$

e$.26\frac{m}{s}$

ANS: A

PTS: $2$

DIF: Average

$2.$ A particle starts from the origin at $t=0$ with a velocity of $6\mathrm{.}0$tilde$(i)\frac{m}{s}$ and moves in the $xy$ plane with a constant acceleration of $(-2\mathrm{.}0$tilde$(tilde(i))+4\mathrm{.}0$hat$(j))\frac{m}{s^2}.$ At the instant the particle achieves its maximum positive $x$ coordinate, how far is it from the origin?

a$.,36m$

b$.20$ m

c$.45$ m

d$.27$ m

e$.37$ m

ANS: B

PTS: $2$

DIF: Average

$3.$ A particle leaves the origin with a velocity of $7\mathrm{.}2\frac{m}{s}$ in the positive $y$ direction and moves in the $xy$ plane with a constant acceleration of $(3\mathrm{.}0$widehat$(tilde(i))-2\mathrm{.}0$widehat$(i))\frac{m}{s^2}.$ At the instant the particle moves back across the $x$ axis