Kinematics - Cornell Notes Template (Page 3 of 3) in pdf

Kinematics

1. A car travels 20 km [N], then turns and travels 60 km [W].

a. Determine the resultant vector using a scale diagram, a ruler, and a protractor.

b. Determine the resultant vector using Pythagorean Theorem and simple trigonometry.

2. Determine the resultant vector when a vector of 13 m [UP] is subtracted from a vector of 18 m [LEFT].

Do this using both a scale diagram, and a mathematical approach.

3. Determine the average velocity of the car from question #1, if the trip takes 1.5 hours.

4. An airplane is travelling 120 km/h [20 degrees West of North] relative to the air, and there is a 45

km/h wind blowing [N] relative to the ground. What is the resultant vector of the airplane, relative to

the ground?

a. Answer the question using a scale diagram.

b. Answer the question using trigonometry.

5. Adam and Jeff are sitting at home period 2 playing PS3 and realize they’ve only got 15.0 minutes to

get to class. They rush out the door and split up. Adam starts out travelling east for 100 m, north for

500 m, and then west for 200 m. Jeff takes a different path that involves travelling west for 300 m,

and then 540 m [N 24.0 degrees E].

a. Determine the resultant displacement vector for Adam using a scale diagram.

b. Determine the resultant displacement vector for Jeff using mathematics.

c. If Adam travels at a constant speed of 1.0 m/s and Jeff travels at a constant speed of 0.8 m/s,

who arrives first? Does either student make it to class on time?

6. A bungee jumping mime is attached to a bungee cord 25.0 m long. The mime is in freefall until he

gets to the end of the bungee (25.0 m below starting point). Once the bungee begins to stretch, the

mime’s speed decreases. Assume the bungee cord causes the mime to accelerate at a constant 15.0

m/s

upwards.

a. Find the maximum speed attained by the mime.

b. Find the distance the mime falls before coming to a stop.

7. Phil the Inquisitive Physics Phascogale is jumping from tree to tree in his native Australia.

a. If he accelerates from an initial velocity of 1.4 m/s at a constant rate of 0.43 m/s

how long

would it take him to travel 0.5 km across the first set of treetops (assuming a roughly linear

path)?

b. As Phil scoots through the trees, he doesn’t notice a break in the foliage until the last minute.

He leaps into the air from a branch that is 10.0m off the ground with an upward velocity of 10.5

m/s hoping to catch a nearby hanging tree-branch that is 15.1 m above the ground. Does Phil

catch the branch or fail to the ground?

8. Ian was a recreational pilot. On a windy day, he heads his Zenith directly west at a speed of 115

km/h. Unfortunately, he encounters air resistance at a velocity of 45 km/h [35 degrees South of East].

Determine Ian’s resultant velocity with respect to the ground:

a. Using a vector scale diagram.

b. Using mathematical calculations.

9. Which of the following is a “scalar” quantity?

a. Time

b. Acceleration

c. Velocity

d. Displacement

e. None of the above

Kinematics - Cornell Notes Template Page 3

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