A dolphin leaps out of the water at an angle of 60.0 above the horizontal. The horizontal component of the dolphin's velocity is 8.0 m/s. Calculate the magnitude of the vertical component of its velocity

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| = = 16m/s

The magnitude of the Vertical component will therefore be: |V| sin α = 16m/s × sin 60 = 13.856m/s

answer: x=3 and y=4

step-by-step explanation:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative