Trigonometry Review And Vector Addition Worksheet printable pdf download

Trigonometry Review And Vector Addition Worksheet

Physics 11 - Trigonometry Review and Vector Addition Worksheet

Solve the following triangles (all sides and angles) using SOH – CAH - TOA and Pythagoras

Show your work on a separate sheet of paper.

2. Using the following x and y components, draw the resultant vector and solve its magnitude and

direction (N, S, E, W).

a) x: 3.4 y: 2.7

b) x: 5.6 y: -7.1

c) x: -211 y: -44.0

3. Solve the following:

a) Bertha walked 10km N, 5km E, then 7km S. What was her total displacement?

b) Tom the pussy cat traveled a total displacement of 8.0m [30° S of E] from the kitchen to the TV. If

his first trip was 6.9282m E from the kitchen to the bathroom, what was his displacement from the

bathroom to the TV?

4. A sailboat is heading due north at 7.2 knots. The ocean current is due east at 1.2 knots. What

speed and direction is the sailboat tracking? 1 knot = 1.852km/hr (Find the answer by adding the

components)

5. A B747 is crossing the Pacific at 420 knots heading West. Air Traffic Control radar is tracking the

plane at 470 knots [12

S of W]. What is the wind speed and direction? (HINT: Remember which

vector is the resultant.)

6. A swimmer attempts to reach the other side of the Fraser River, which has a width of 35m near

Hell's Gate

. This swimmer can swim at 11.6m/s, but Fraser River has a downstream current moving

at roughly 0.50m/s to the west.

a) If the swimmer heads straight north for the other side of Fraser River, how long will that take?

b) If there were NO current, would the swimmer take just as long as in question "a"? Why or why not?

c) Draw and find the swimmer's resultant velocity for question "a" while taking the current into

consideration.

*d) In which direction should the swimmer head to reach the other side of Fraser River while moving

in a straight line?

References

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Trigonometry Review And Vector Addition Worksheet