Question

An atlethe starting from a rest picks ups a velocity of 10 m/s over a distance of 100m . Calcutale (i) the acceralation generated by the athlete and (ii) the time in which complates the race

Answer 1

Answer:-

a = 0.5 m/s²

t = 20 s

Given :-

u = 0 m/s

v = 10 m/s

s = 100 m

To find :-

The acceleration generated by athlete and time taken to complete the race.

Solution :-

Let it takes time t to complete the race.

By using 2 nd equation of motion we can find its acceleration.

→$2as = v^2 - u^2$

→$2 \times a \times 100 = (10) ^2 - (0) ^2$

→$200 \times a = 100$

→$a = \dfrac{100}{200}$

→$a = 0.5 m/s^2$

Now, we have to find time t.

a = 0.2 m/s²

v = 10 m/s

u = 0 m/s

Time take to complete the race = [/tex] v = u + at [/tex]

→$10 = 0 + 0.5 \times t$

→$10 = \dfrac{5t}{10}$

→$5t = 100$

→$t = \dfrac{100}{5}$

→$t = 20 s$

hence,

Acceleration generated by athlete is 0.5 m/s².

Acceleration generated by athlete is 0.5 m/s².And time taken to complete the race will be 20 s.