How to Calculate Time and Distance in Basic Physics Problems?

AI Thread Summary
The discussion focuses on calculating time and distance in basic physics problems involving motion, acceleration, and collisions. Key examples include determining how much sooner a faster car arrives at a destination compared to a slower one, calculating the average acceleration of a tennis ball after hitting a wall, and finding the displacement of a subway train under constant acceleration. Additionally, the thread addresses the design of safety barriers for cars and the conditions under which two particles will pass each other based on their velocities and accelerations. Participants are encouraged to show their attempts at solving the problems for better assistance.
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*** Basic Physics Homework ***

PLEEZ HELP! these are due at 8. i got transferred to this new school and they are much farther ahead of us in the curriclulum please HELP ME :(

ANY ANSWERS ARE GREATLY APPRECIATED :D :D :D

#4 PART 1

Two cars travel in the same direction along a
straight highway, one at a constant speed of
55 mi/h and the other at 66 mi/h.
Assuming they start at the same point, how
much sooner does the faster car arrive at a
destination 10 mi away? Answer in units of
min.
Answer =1.81 min



#4 PART 2

How far must the faster car travel before it
has a 13 min lead on the slower car? Answer
in units of mi.



#6

A tennis ball with a speed of 8 m/s is thrown
perpendicularly at a wall. After striking the
wall, the ball rebounds in the opposite direc-
tion with a speed of 7 m/s.
If the ball is in contact with the wall for
0.012 s, what is the average acceleration of
the ball while it is in contact with the wall?
Answer in units of m/s2.



#7

A subway train starting from rest leaves a
station with a constant acceleration. At the
end of 9.27 s, it is moving at 22.6188 m/s.
What is the train’s displacement in the first
6.29433 s of motion? Answer in units of m.



#8

Highway safety engineers build soft barriers
so that cars hitting them will slow down at a
safe rate. A person wearing a safety belt can
withstand an acceleration of 300 m/s2.
How thick should barriers be to safely stop
a car that hits the barriers at 89.4 km/h?
Answer in units of m.



#9

Two particles are at the same point at the
same time, moving in the same direction. Par-
ticle A has an initial velocity of 7.9 m/s and
an acceleration of 2.8 m/s2. Particle B has an
initial velocity of 2.9 m/s and an acceleration
of 5.2 m/s2.
At what time will B pass A? Answer in

units of s.
 
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