Question

if one sprinter runs the 400.0 m in 58 seconds and another can run the same distance in 60.0 seconds, by how much distance will the faster person win by if they race?

Answer 1

Answer:

The faster person wins by 13.31 m.

Explanation:

Given that,

For first person,

Times $t_{1}=58\ sec$

Distance $d=400\ m$

For second person,

Time $t=60.0 sec$

We need to calculate the speed of each person

Using formula of speed

For first person,

$v=\dfrac{D}{t}$

$v=\dfrac{400}{58}$

$v=6.897\ m/s$

For second person,

$v=\dfrac{400}{60.0}$

$v=6.67\ m/s$

We need to calculate the distance covered by second person in 58 sec

$d=v\times t$

$d=6.667\times58$

$d=386.686\ m$

So, Person wins by the distance

$d=d_{A}-d_{B}$

$d=400.0-386.686=13.31\ m$

Hence, The faster person wins by 13.31 m.

Answer 2

v = 400m/58s = 6.9m/s

v = 400m/60s = 6.7m/s

6.9m/s - 6.7m/s = .2m/s difference

60sec - 58 sec = 2 sec

v =Δx/t

Δx = vt

Δx = (.2m/s)(2sec)

Δx = .4m

therefore, the answer is .4m