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Questions about velocity, acceleration & force

(See attached file for full problem description)

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As a vehicle goes from +4m/s to -1 m/s, what is its change in velocity?

For 2 and 3 use the following:
Vector P: 50 meters @ 110 degrees
Vector Q: 35 meters @ 315 degrees

Question 2:
What is 3P - 3Q?

Question 3:
What is 2P + 3Q?

Question 4:
Dick Rutan, the man attempting to fly around the world in a balloon, is floating due east at 18 km/hr. One hour later he has turned and is now sailing due south at 48 km/hr. What is the magnitude of his average acceleration over this period of time?

Question 5:
A velocity vector of 24 m/s is at an angle of 320 degrees. What is its vertical component?

Question 6:
A 25 kg mass starts from rest and is forced to the right with a force of 14.98 Newtons and has a force of friction of 7.49 Newtons. Determine the distance the mass travels in 19.98 seconds.

Question 7:
Vector lengths of 30m, 500m and X create a resultant length of 10m. What could X be?

Question 8:
Six vectors are shown in the diagram at right. What is a possible direction on the resultant vector of 1 + 2 + 3 + 4 + 6? (Use only positive values)

Question 9:
A 15.98 kg sky diver falls and experiences an upward force due to air resistance of 10.99 N at a point in time. Determine the magnitude of the acceleration the sky diver experiences at this time.

Use the following situation to answer questions 10 & 11. A 10.99 kg wagon is pulled to the right with a 15.98 N force that is applied at an angle of 30 degrees with respect to the horizontal. There is a 4.99 Newton force of friction pulling the wagon to the left.

Question 10:
Determine the acceleration of the wagon.

Question 11:
Determine the final velocity of the wagon after a time of .3996 seconds if it starts from rest.

For questions 12 - 14 below use the following situation: Two forces act concurrently on a 25 kg mass: a 69.95 Newton force at 45 degrees along with a 98.92 Newton force at 120 degrees.

Question 12:
Determine the magnitude of the net force provided by these two forces.

Question 13:
Determine the force that would need to act along with these two forces to put a zero net force on the 25 kg mass.

Question 14:
Determine the direction at which the force in Question 13 would need to act in order to put a zero net force on the 25 kg mass. (use 0 degrees east as reference)
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Solution Summary

!4 questions related to Mechanics about velocity acceleration and force are solved and explained.

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