The acceleration of the quarterback and the lineman is 5.55m/s² and 4.16m/s² respectively in the same direction.
As, we know, the 120 Kg lineman is moving with a force of 500N.
His net acceleration will be in the same direction as his motion.
It is already known that, If M is the mass of the body and a is the acceleration of the body, then the force F on the body can be calculated by using the formula,
F = Ma.
The weight of the quarterback is 90 Kg. He is being hit by a force of 500N.
So, the acceleration can be calculated using the formula,
500N = 90kg x a
a = 5.55 m/s².
Now, the weight if the lineman is 120kg, the force applied by him is 500N.
So, from the formula, his acceleration A will be,
500N = 120Kg x A
A = 4.16 m/s².
both of them will have acceleration in the same direction,
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= 26.3 * 
= 2.63 *
N