Answer:
13.856m/s
Step-by-step explanation:
Generally, for a vector, say V acting at an angle of α, the magnitude of the different components are solved using the formula:
Horizontal component: |V| cos α
Vertical component: |V| sin α
From the question, we can equate the given horizontal component to the above formula; |V| cos α = |V| cos 60 = 8.0m/s
So that |V| = [tex]\frac{8m/s}{cos 60}[/tex] = 16m/s
The magnitude of the Vertical component will therefore be: |V| sin α = 16m/s × sin 60 = 13.856m/s