Answer:
Calculate the sprinter's constant acceleration during the first 2 s:
[tex]s= ut + \frac{1}{2} at^{2}[/tex]
Given that,
s = 10m
u = 0 m/s
t = 2s
[tex]s= ut + \frac{1}{2} at^{2}\\ \frac{1}{2} at^{2}= s- ut\\a= \frac{2(s-ut)}{t^{2} } \\a= \frac{2(10-0)}{2^{2} }\\a = \frac{20}{4}\\ a = 5 m/s^{2}[/tex]
What is the sprinter's velocity after 2 s?
v = u + at
given,
t = 2s
a = 5 m/s²
u = 0 m/s
v = 0 + (5 × 2)
v = 10 m/s
- Calculate the total time required to run the full 100 m.
first 10m is completed by 2 seconds.
and it is stated that The remaining 90 m is run wit
same velocity the sprinter had after 2 s.
For the rest 90m,
s = vt
v= 10 m/s
t = ?
s = 90
t = 90 ÷ 10
t = 9s
total time : (2+9) = 11 seconds
