How to Calculate Time and Distance in Basic Physics Problems?

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SUMMARY

This discussion focuses on solving basic physics problems related to time and distance calculations. Key examples include determining how much sooner a faster car arrives at a destination 10 miles away, which is calculated to be 1.81 minutes, and finding the average acceleration of a tennis ball rebounding off a wall, which requires understanding the change in velocity and contact time. Additional problems involve calculating displacement of a subway train with constant acceleration and the necessary thickness of safety barriers for cars. The discussion emphasizes the importance of showing attempted work for effective assistance.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with speed, distance, and time relationships
  • Knowledge of acceleration and its calculation
  • Ability to apply formulas for motion in one dimension
NEXT STEPS
  • Study the equations of motion for uniformly accelerated objects
  • Learn how to calculate average acceleration from velocity and time
  • Explore real-world applications of kinematics in vehicle safety
  • Practice solving physics problems involving relative motion
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone needing to solve basic physics problems related to motion and acceleration.

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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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