A sprinter accelerates at 5.0 m/s2. How far will she travel in 4.0 seconds if she starts at 0 m/s?
(1/2) a t^2
recall that s = 1/2 at^2
40m
yes
To find the distance traveled by the sprinter, we can use the kinematic equation:
distance = initial velocity * time + (1/2) * acceleration * time^2
In this case, the sprinter starts at 0 m/s, so the initial velocity is 0 m/s. Also, the acceleration is given as 5.0 m/s^2, and the time is given as 4.0 seconds. Substituting these values into the equation, we get:
distance = 0 * 4.0 + (1/2) * 5.0 * (4.0)^2
= 0 + (1/2) * 5.0 * 16.0
= 0 + 40.0
= 40.0 meters
Therefore, the sprinter will travel a distance of 40.0 meters in 4.0 seconds.