Question

15 if two vectors are represented in magnitude and direction by adjacent sides of a parallelogram the resultant is represented in magnitude and direction by the __________ drawn from the origin of the vectors

vertices

diagonal

two sides

remaining side



16 a particle moves along the x-axis in such a way that its position at any instant is given by

x−5t2+1

, where

x

is in metres and

t

is in seconds. calculate its average velocity in the time interval between 2s and 3s.

25ms−1

30ms−1

50ms−1

15ms−1

Answer 1

Answer on Question #56260, Physics / Mechanics | Relativity

15 if two vectors are represented in magnitude and direction by adjacent sides of a parallelogram the resultant is represented in magnitude and direction by the _ drawn from the origin of the vectors

vertices

diagonal

two sides

remaining side

Solution:

Two vectors are represented by adjacent sides AB and AD. Since opposite sides of parallelogram are equal (AD = BC), thus $\overline{AB} + \overline{AD} = \overline{AB} + \overline{BC} = \overline{AC}$ , which is the diagonal drawn from the origin of the vectors.

Answer: diagonal

16 a particle moves along the x-axis in such a way that its position at any instant is given by

$x = 5t2 + 1$ , where $x$ is in meters and $t$ is in seconds. calculate its average velocity in the time interval between 2s and 3s.

25ms-1

30ms-1

50ms-1

15ms-1

Solution:

$$V_{avg} = \frac{X(T_2) - X(T_1)}{\Delta T}$$ $$X(T_1) = 5 \times 2^2 + 1 = 21 \text{ m}$$ $$X(T_2) = 5 \times 3^2 + 1 = 46 \text{ m}$$ $$V_{avg} = \frac{46 - 21}{1} = 25 \text{ m/s}$$

Answer: 25 m/s

https://www.AssignmentExpert.com