document.write( "Question 1160717: Suppose you’re driving 90.0 kilometers an hour and suddenly see red flashing lights in the rearview mirror. “Great,” you think, and you pull over, taking 20.0 seconds to come to a stop. What was your average acceleration, in m/sec2? \n" ); document.write( "
Algebra.Com's Answer #784106 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "1 minute = 60 seconds \n" ); document.write( "60 minutes = 3600 seconds (multiply both sides by 60) \n" ); document.write( "1 hour = 3600 seconds\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To convert from 90 km/hr to km/sec, we divide by 3600 \n" ); document.write( "This is the same as multiplying by (1/3600) \n" ); document.write( "90 km/hr = (90 km/hr)*(1 hr/3600 sec) \n" ); document.write( "90 km/hr = (90)*(1/3600) km/sec \n" ); document.write( "90 km/hr = 0.025 km/sec\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To convert from km/sec to m/sec, we multiply by 1000 since there are 1000 meters in 1 km \n" ); document.write( "0.025 km/sec = (0.025 km/sec)*(1000 m/1 km) \n" ); document.write( "0.025 km/sec = (0.025*1000) m/sec \n" ); document.write( "0.025 km/sec = 25 m/sec\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To wrap things up so far, \n" ); document.write( "90 km/hr = 25 m/sec\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Vi = initial velocity = 25 m/sec \n" ); document.write( "Vf = final velocity = 0 m/sec \n" ); document.write( "t = change in time = 20 seconds\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = acceleration \n" ); document.write( "a = (Vf-Vi)/t \n" ); document.write( "a = (0-25)/20 \n" ); document.write( "a = -25/20 \n" ); document.write( "a = -1.25 \n" ); document.write( "Negative acceleration indicates the object is slowing down. A counter force of the brakes is being applied opposite of the car's initial direction. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Average acceleration is -1.25 m/sec^2 \n" ); document.write( "Every second, the car slows down by 1.25 m/sec.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Side note: 1.25 m/sec = 4.5 km/hr \n" ); document.write( " \n" ); document.write( " |