Question

HELPPPPPPPPP!!!!! If you hit your brakes 137.4 ft away from a camel, and decelerate at 28 ft/sec^2, will you stop before hitting the camel? Show work please!

Answer 1

.5*a*t^2

Answer 2

how fast is the car going

Answer 3

what was speed before hitting brakes

Answer 4

Cal is driving a car at the speed of 60 mph (88 ft/sec), when suddenly he sees a camel standing on the road 199 ft. in front of him. Unable to swerve, he slams on his brakes. If he has a reaction time of .7 sec. before applying the brake & the car decelerates at a constant rate of 28 ft/sec^2, will he stop before hitting the camel?

Answer 5

distance equation
\[d = \frac{1}{2}at^{2} + v_0 t \]
a = -28
v_0 = 88
if d<137.4 then car stops in time

Now to find t, use velocity equation
\[v = at +v_0\]
set it to 0, solve for t
\[\rightarrow t = \frac{-v_0}{a}\]
plug this into distance equation for t to see how far car travels in that time

Answer 6

for the velocity equation, what to i plug in for velocity, 88? and initial velocity on the velocity formula, 137.4??

Answer 7

in both equations its 88 for initial velocity

Answer 8

okay, but then for v=at+v 0, i plug 88 for v0 and what do i plug in for v because im solving for t?

Answer 9

oh sorry you are making v=0 ....when you stop your velocity is 0
thats how i came up with value for t

Answer 10

oh okay! thanks so much! :)

Answer 11

your welcome...looks like he hits the camel :)