#$1$ Penguins and Polar Bears

Pete the Penguin begins a journey to the right with a velocity of $4\mathrm{.}0$ m$/$s$,$ starting to the

right of the origin at x $=26\mathrm{.}3$ m$.$ At the same time, Ivan the polar bear begins from rest

from x $=12\mathrm{.}2$ m with a rightward acceleration of $2\mathrm{.}5$ m$/$s

$2$

$.$ How far does Ivan travel from

Ivan$$s starting point before meeting Pete?

A$.36\mathrm{.}3$ m

B$.41\mathrm{.}5$ m

C$.52\mathrm{.}5$ m

D$.68\mathrm{.}0$ m

$1$

#$2$ Road Warriors

A driver operating a vehicle at a speed of $25\mathrm{.}0$ m$/$s intends to pass a second vehicle $2\mathrm{.}00$

km ahead traveling in the same direction with a speed of $30\mathrm{.}0$ m$/$s$.$ The driver of the first

vehicle accelerates at a uniform rate to pass the second vehicle, and does so after traveling

$4\mathrm{.}00$ km$.$ Thus, whereas the first $($rear$)$ vehicle traverses $4\mathrm{.}00$ km$,$ the second $($front$)$ car only

travels $2\mathrm{.}00$ km$,$ when it is passed. If the driver of the second vehicle, not wishing to be

passed, begins to accelerate at a rate of $0\mathrm{.}400$ m$/$s

$2$

the moment the first car begins its own

acceleration, how much time elapses before the rearward $($i$.$e$.$ first$)$ car passes the vehicle in

the front $($i$.$e$.$ second car$)?$ Hint: Focus on the second car. How long does it take for this

vehicle to traverse $2\mathrm{.}00$ km$,$ at which time it is passed by the first car?

A$.35\mathrm{.}0$ s

B$.50\mathrm{.}0$ s

C$.65\mathrm{.}0$ s

D$.75\mathrm{.}0$ s

#$3$ Road Warriors $($continued$)$

In #$2,$ what is the uniform acceleration of the rearward $($i$.$e$.$ first$)$ vehicle?

A$.0\mathrm{.}800$ m$/$s

$2$

B$.1\mathrm{.}40$ m$/$s

$2$

C$.2\mathrm{.}20$ m$/$s

$2$

D$.3\mathrm{.}40$ m$/$s

$2$

#$4$ Stone Dropped into a well

Suppose a stone is dropped from rest directly down into the interior of a well. The sound of

the stone striking the bottom of the well is heard near the top of the well $5\mathrm{.}50$ seconds later.

How deep is the well?

A$.92\mathrm{.}1$ m

B$.129$ m

C$.142$ m

D$.182$ m

#$5$ stone Dropped into a well

In #$4,$ for how many seconds is the stone actually falling?

A$.3\mathrm{.}18$ s

B$.4\mathrm{.}82$ s

C$.5\mathrm{.}12$ s

D$.5\mathrm{.}50$ s