Question

1. examples of vector quantity are (you can tick more than one answer) a) acceleration b) displacement c) speed d) velocity 11. 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: Define velocities

Let the velocity of the kayak relative to the water $v_{k/w}=3\ m/s$ East and the velocity of the water relative to the ground $v_{w/g}= 0.5\ m/s$ West. Take East - direction as positive and West - direction as negative. So $v_{k/w}=3\ m/s$ and $v_{w/g}=- 0.5\ m/s$.

Step2: Use the formula for relative velocity

The resultant velocity of the kayak relative to the ground $v_{k/g}$ is given by the formula $v_{k/g}=v_{k/w}+v_{w/g}$.
Substitute the values: $v_{k/g}=3+( - 0.5)$.

Step3: Calculate the resultant velocity

$v_{k/g}=3 - 0.5=2.5\ m/s$ East.

Answer:

a) 2.5 m/s East