Question

What is the deceleration of a football player who collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m?

a) 10.0 m/s²
b) 12.5 m/s²
c) 15.0 m/s²
d) 17.5 m/s²

Answer 1

The deceleration of the football player who collides with a padded goalpost while running at a velocity of 7.50 m/s and comes to a full stop after compressing the padding and his body 0.350 m is -80.36 m/s².

Step-by-step explanation:

To find the deceleration of the football player, we can use the equation vf^2 = vi^2 + 2ad, where vf is the final velocity (0 m/s in this case), vi is the initial velocity (7.50 m/s), a is the acceleration (deceleration in this case), and d is the distance (0.350 m).

Plugging in the given values:

0^2 = (7.50)^2 + 2a(0.350)

0 = 56.25 + 0.70a

a = -56.25/0.70 = -80.36 m/s² (negative sign indicates deceleration)

Therefore, the deceleration of the football player is 80.36 m/s².