The first 10 m of a 100 m dash are covered in 2 s by a sprinter who from rest and accelerates constantly. The remaining 90 m is run wit
same velocity the sprinter had after 2 s. In this context, answer the follo
questions.
Calculate the sprinter's constant acceleration during the first 2 s.
What is the sprinter's velocity after 2 s?
- Calculate the total time required to run the full 100 m.
1 Draw the displacement-time graph for the sprinter.
Classify the following situations as examples of balanced' and 'unbala
orces.
Two forces of 20 N acting towards left.
accelerating nlane

Calculate the sprinter's constant acceleration during the first 2 s:

Given that,

s = 10m

u = 0 m/s

t = 2s

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

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000