A sprinter starts their race from the 0 position and reaches their constant velocity of 8.7 m/s when they are at 32 meters in the from the starting line. How far from the starting line will the sprinter be if they continue at the speed for 5 more seconds?
Question
Given : Initial speed , u = 0 m/s .
Final speed , v = 8.7 m/s .
Distance travelled , d = 32 m .
To Find : How far from the starting line will the sprinter be if they continue at the speed for 5 more seconds .
Solution :
It is given that after reaching speed of 8.7 m/s speed become constant .
So , distance covered in 5 second is :
[tex]d=v \times t\\d=8.7 \times 5 \ m\\d=43.5 \ m[/tex]
Now , total distance from start line is :
[tex]D=32+43.5=75.5 \ m[/tex]
Therefore , the distance from starting line is 75.5 m .
Hence , this is the required solution .