3. A halfback (m = 60 kg), a tight end (m = 90 kg), and a lineman (m = 120 kg) are running down the football field. Consider their ticker tape patterns below. Compare the velocities of these three players. How many times greater are the velocity of the halfback and the velocity of the tight end than the velocity of the lineman? Which player has the greatest momentum?

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• Velocity of tightend is 2times greater than that of linesman while velocity of halfback is thrice that of linesman.

• The halfback and tightend have the greatest momentum.

Explanation:

We are given:

= 3m/s

Therefore, considering the fact the distance covered by the tightend is twice that of the linesman in same period of time, it means the speed of tightend is 2 times faster than the linesman, the velocity of the tight end will be:

= 2 * 3m/s = 6m/s

For the halfback:

The distance covered by the halfback is 3times that covered by the linesman in same period of time, it means the speed of the halfback is thrice greater than that of the linesman.

Therefore, the velocity of the half back will be:

= 3 * 3m/s = 9m/s

• To find momentum, we use:

P = m * v

Therefore,

Momentum for halfback:

= 60kg, v = 9m/s

= 60kg * 9m/s = 540kg.m/s

Momentum for tightend =

90kg * 6m/s = 540kg.m/s

Momentum for linesman=

120kg * 3m/s = 360kg.m/s

We can see that the tightend and halfback have the greatest momentum, with a momentum of 540kg.m/s. While the linesman has the lowest momentum, with a momentum of 360kg.m/s

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explanation: