The velocity of a sprinter is 9m / s. After 4 seconds, his velocity become zero. If acceleration is taken to be uniform. Find its value
Acceleration = (vf-vi)/t
=(0-9)/4
= -2.25 m/s²
To find the acceleration of the sprinter, we can use the kinematic equation:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Based on the given information, we have:
Initial velocity, u = 9 m/s
Final velocity, v = 0 m/s
Time, t = 4 seconds
Plugging in these values into the kinematic equation, we get:
0 = 9 + a * 4
Rearranging the equation, we have:
-9 = 4a
To find the value of a, we can divide both sides of the equation by 4:
a = -9/4
Therefore, the acceleration of the sprinter is -9/4 m/s^2. The negative sign indicates that the sprinter is decelerating or slowing down.