A football player is running at a speed of 9m/s hits the goalpost and comes to a stop in 0.050 sec. Calculate his acceleration and compare it with that of gravity.
-180 m/s
To calculate the acceleration of the football player, we can use the formula:
acceleration = (final velocity - initial velocity) / time
The initial velocity is the speed at which the football player is running, given as 9 m/s. The final velocity is 0 m/s since the player comes to a stop. The time is given as 0.050 seconds.
Plugging these values into the formula, we get:
acceleration = (0 m/s - 9 m/s) / 0.050 s
Simplifying the equation:
acceleration = (-9 m/s) / 0.050 s
acceleration = -180 m/s^2
The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
Now, let's compare this acceleration with that of gravity. The acceleration due to gravity on the surface of the Earth is approximately 9.8 m/s^2.
Comparing the two accelerations:
Acceleration of football player = -180 m/s^2
Acceleration due to gravity = 9.8 m/s^2
We can see that the acceleration of the football player (-180 m/s^2) is significantly larger in magnitude than the acceleration due to gravity (9.8 m/s^2).
force*time=mass*changevelocity.
calcuate force
then, from F=ma, a=Force/mass