Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

A DNA molecule is 2.24 $\mu$m long. The molecule becomes singly ionized, with one end negative and t...

PhysicsElectrostaticsCoulomb's LawHooke's LawSpring ConstantPercentage CalculationUnit Conversion
2025/3/15

The image shows "120 N/ad". This is most likely asking to determine the number shown and the units s...

UnitsPhysicsMeasurement
2025/3/14

The problem asks to convert 125 miles per hour to pies per second. This problem is absurd, as "pies...

Unit ConversionDimensional AnalysisSpeedFeet per secondMiles per hour
2025/3/14

Convert 35.28 km/h to m/s.

Unit ConversionDimensional AnalysisPhysics
2025/3/14

The problem asks us to convert $32$ m/s to mph using the given conversion factor $8$ km/h $= 5$ mph.

Unit ConversionDimensional AnalysisProblem Solving
2025/3/14

The problem is to find the departure time of a plane, given its arrival time (18:15), the distance i...

Word ProblemDistance, Speed, and TimeArithmeticTime CalculationUnits Conversion
2025/3/14

The problem states that a car is moving at a constant speed. Two photos were taken of the car. The t...

MotionSpeedDistanceTimePhysics
2025/3/14

The problem describes a car traveling at a constant speed over equally-spaced lines on the road. Two...

PhysicsKinematicsSpeedDistanceTimeUnits Conversion
2025/3/14

The problem describes a car moving at a constant speed. Two photographs of the car were taken. The s...

KinematicsSpeed CalculationDistanceTimeUnits ConversionPhysics
2025/3/14

A car travels at a constant speed. Two photos of the car were taken $0.5$ seconds apart. The distanc...

SpeedDistanceTimeUnits ConversionPhysics
2025/3/14