Henry Ford Community College
Science Division
Physics 131 – Section 70
Handout 1 – Formula, Trig and Vectors
Manipulation of Formula (Practice Problems)
1. Y = kx2; Make x the subject of the formula.
2. v = u + at; Make t the subject of the formula.
3. m = 2E/v2
i.
Make E the subject of the formula.
ii.
Make v the subject of the formula.
4. D = ½(vf + vi)t; Make vi the subject of the formula.
Trigonometry (Practice Problems)
1. In figure 1 below, find the lengths of the side of the triangle labeled x and y respectively.
Figure 1
2. In figure 2 below, find the length of side x of the triangle and the measure of angles c
and d respectively.
Figure 2
Vectors (Practice Problems)
3. In figure 3 below, state whether the horizontal and vertical components of vectors OA,
OB, OC and OD will have positive or negative signs.
Vector OA:
Horizontal Component is ______; Vertical Components is ________.
Vector OB:
Horizontal Component is ______; Vertical Components is ________.
Vector OC:
Horizontal Component is_______; Vertical Components is________.
Vector OD:
Horizontal Component is_______; Vertical Components is________.
Figure 3
4. Resolve the following vectors into their horizontal and vertical components
a. Vector AB has a magnitude of 200 miles and is heading southwest.
b. Vector K has a magnitude of 45 m/s at 35 degrees in standard position.
c. Vector JK has a magnitude of 5 Newtons at 325 degrees in standard position.
d. Wind velocity of 40 mph at 140 degrees in standard position.
5. A vector has a horizontal component of 5 km and a vertical component of 7 km.
Describe the vector in terms of its magnitude and direction.
6. A vector has a horizontal component of - 5 km and a vertical component of - 7 km.
Describe the vector in terms of its magnitude and direction.