Question

1. examples of vector quantity are ______________ (you can tick more than one answer)

a) acceleration
b) displacement
c) speed
d) velocity

1. lilly is paddling in her kayak 3 m/s east in a river that has a current of 0.5 m/s west. what is her resultant velocity?

a) 2.5 m/s east
b) 3.5 m/s east
c) 2.5 m/s west

Explanation:

Step1: Recall vector - scalar definitions

Vector quantities have both magnitude and direction, while scalar quantities have only magnitude.

Step2: Analyze each option for question 10

Acceleration has magnitude and direction (e.g., 5 m/s² north), displacement has magnitude and direction (e.g., 10 m east), speed has only magnitude (e.g., 20 km/h), and velocity has magnitude and direction (e.g., 15 m/s south). So acceleration, displacement, and velocity are vector quantities.

Step3: Solve question 11

Take the east - west direction into account. Let the east direction be positive and the west direction be negative. The velocity of the kayak is \(v_{kayak}=3\ m/s\) and the velocity of the current is \(v_{current}=- 0.5\ m/s\). The resultant velocity \(v = v_{kayak}+v_{current}\).
\[v=3+( - 0.5)=2.5\ m/s\]
Since the result is positive, the direction is east.

Answer:

1. a) acceleration, b) displacement, d) velocity
2. a) 2.5 m/s East