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  2. Motion Problem

Motion Problem

02 - Cars moving in opposite directions

Problem
A car leaves city A for city B, 40 km distant, traveling 50 kph. Thirty minutes later, another car leaves city B for city A at 40 kph. At what point of their path will the first car pass 6 minutes before the second car?
 

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01 - Sound of impact of the bullet hitting the target

Problem
A bullet is fired at a target 1,342 m away. At what point along its path would the sound of the impact of the bullet be heard 1/4 second before the report of the gun, assuming that sound travels at the rate of 335 m/sec and the bullet is 503 m/sec.
 

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1011 Time of launching a ship | Rectilinear Translation

Problem 1011
A ship being launched slides down the ways with constant acceleration. She takes 8 sec to slide (the first foot | 0.3048 meter). How long will she take to slide down the ways if their length is (625 ft | 190.5 m)?
 

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1009 Initial velocity of the second ball | Rectilinear Translation

Problem 1009
A ball is shot vertically into the air at a velocity of 193.2 ft per sec (58.9 m per sec). After 4 sec, another ball is shot vertically into the air. What initial velocity must the second ball have in order to meet the first ball 386.4 ft (117.8 m) from the ground?
 

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Motion-related Problems

Motion with constant velocity
The distance traveled is the product of velocity and time.
 

$s = vt$

were,
s = distance
v = velocity
t = time
 

It follows that

$t = \dfrac{s}{v}$   and   $v = \dfrac{s}{t}$

 

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Verbal Problems in Algebra

The following is an attempt to classify the verbal problems.
 

Number-related problems
Number-related problems are considered as the most basic type of verbal problems. It is taken as the base point of analysis for more complex type of problems.
 

Digit-related problems

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