A sprinter of 100 m race, covers 4 m in first second, 30 m in next 4 seconds and 52m in amother 4 seconds and finishes the race in 10 seconds. (i)Calculate the average speed of the sprinter ? (ii) what is the peak value  attained by the sprinter ? (iii) during which time interval is the acceleration is the highest ? (iv) Plot the distance time graph and velocity time graph for the race ? (iv) show on the graph the velocity of the sprinter at the end of 5 seconds ?

 

(ii)  For all the time intervals we need to calculate the initial velocity, acceleration, displacement and the final velocity

Formulas used:

s = ut + (1/2)at² and v = u + at

 

Time s	0	1	5	9	10
Distance m	0	4	34	86	100
Velocity m/s	0	8	7	19	9

 

So, peak velocity attained by the is 19 m/s at the end of the 9th second.

 

(iii) Acceleration is highest between 5th to 9th second. It is 3 m/s².

 

(iv) 

(v)

Mark the points from 5 second on the graph and note down the corresponding reading on the velocity scale.

Then, calculate the slope.