void SolveAccelerationProblems1()
{
//1. A flower pot falls from a windowsill 25.0 m above the sidewalk.
// How much time does a person below have to move out of the way?
// How fast is the flower pot moving when it strikes the ground?
Meter const potfalls( 25. );
SquareSecond const falloffsquaretime = (potfalls * 2.) / Acceleration3( 9.8 );
Second const rep1 = sqrt( falloffsquaretime );
Velocity const rep1_2 = potfalls / rep1;
Scalar const _rep1 = rep1.GetValue();
Scalar const _rep1_2 = rep1_2.GetValue();
Assert( fequal( _rep1, 2.2587697572631282 ) );
Assert( fequal( _rep1_2, 11.067971810589327 ) );
//2. A plane, starting from rest at one end of a runway, undergoes a
// constant acceleration of 1.6 m/s2 for a distance of 1600 m before
// takeoff. What is its speed upon takeoff? What is the time required
// for takeoff?
Meter const planedistance( 1600. );
SquareSecond const squaretime2 = (planedistance * 2.) / Acceleration3( 1.6 );
Second const rep2 = sqrt( squaretime2 );
Velocity const rep2_2 = planedistance / rep2;
Scalar const _rep2 = rep2.GetValue();
Scalar const _rep2_2 = rep2_2.GetValue();
Assert( fequal( _rep2, 44.721359549995796 ) );
Assert( fequal( _rep2_2, 35.777087639996637 ) );
}
void PrintPerformance( clock_t const rawdiff, clock_t const unitdiff )
{
Second const rawtime( Scalar( rawdiff ) / CLOCKS_PER_SEC );
Second const unittime( Scalar( unitdiff ) / CLOCKS_PER_SEC );
Second const difftime = unittime - rawtime;
OutputLine( L"Raw time: " + ToString( rawtime.GetValue() ) + rawtime.GetSuffix() );
OutputLine( L"Unit time: " + ToString( unittime.GetValue() ) + unittime.GetSuffix() );
OutputLine( L"Time difference: " + ToString( difftime.GetValue() ) + difftime.GetSuffix() );
OutputLine( L"Performance factor: " + ToString( unittime / rawtime) );
}