Question

During the sprint of hundred metre the maximum speed acquired by the athlete athlete was 10 metre per second if is acceleration was uniform then his speed when he was at the middle of the run is

Answer 1

Answer:

Explanation:

Given :-

Initial velocity of Athlete , u = 0

Final velocity of Men, v = 10 m/s

Displacement, s = 100m

To Find :-

Final speed when he was at the middle.

Formula to be used :-

v² = u² + 2as

Solution :-

Putting all the values, we get

v² = u² + 2as

⇒ (10)² = 0² + 2a(100)

⇒ a = 0.5 m/s²

Now, speed of athlete at middle , v'

⇒ v² = u² + 2as

⇒ v'² = u² + 2a(s/2)

⇒ v'² = 0² + 2(0.5)(100/2)

⇒ v'² = 50

⇒ v' =  5√2 m/s

Hence, Final speed when he was at the middle is 5√2 m/s.