A car is Contents Homework set a 1 (due 5/19 straight road on straight road spee

Question

A car is Contents Homework set a 1 (due 5/19 straight road on straight road speed along that road (the x axis as a function of time Car en at SPM) initially at rest on a straight road. The histogram below shows the car's e 1 2 3 4 s s 7 s s 18 11 12 13 14 Time (s) Calculate the distance traveled by the car during the first 5 s. 22.00 m You are correct. Previous Tries our no. is 151-7970 15.00 m the distance traveled by the car from t 11 to t 14 s. You are correct. Your receipt no. is 151-7227 Calculate the average speed of the car from t 5 s to t 9 s. the average speed is the distance traveled divided by the time elapse stmitAnswer incorrect. Tries 8/20 Previous Tries My general preferences on what is marked as

Explanation / Answer

Area for the duration of time interval from t=5 to t=9 s can be calculated by taking three parts of it

1st part is from t=5 to t=6 s

so distance travelled in that interval (d5-6) = 0.5*(8+7)*1 = 7.5 m

2nd part is from t=6 to t=7 s

so distance travelled in that interval (d6-7) = 0.5*(7+9)*1 = 8 m

3rd part is from t=7 to t=9 s

so disntace travelled in that interval (d7-9) = 0.5*(9+5)*2 = 14 m

so total distance travelled in time interval t=5 to t=9 s

d = d5-6 + d6-7 + d7-9

d = 7.5 + 8 + 14 = 29.5 m

total time = 4 s

so average speed in this time interval = total distance / total time taken

= 29.5 / 4

average speed from t=5 to t=9 s = 7.375 m/s

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