Question

How do I solve this problem? A cannonball is launched diagonally with an initial velocity of 26.0 m/s. Determine all unknowns initial velocity: blank m/s initial horizontal velocity: blank m/s initial vertical velocity: blank m/s The initial velocity is 26 m/sHow do I solve for the other 2?

Answer 1

Answer:

initial velocity = 26 m/s

initial horizontal velocity = 10.58 m/s

initial vertical velocity = 23.75 m/s

Explanation:

The initial velocity is the given velocity, so:

initial velocity = 26.0 m/s

Then, the horizontal and vertical velocity can be calculated using the trigonometric functions cosine and sine respectively. So:

$\begin{gathered} \text{horizontal velocity = }26\times\cos (66)=10.58\text{ m/s} \\ \text{vertical velocity = 26}\times\sin (66)=23.75\text{ m/s} \end{gathered}$

Therefore, the answers are:

initial velocity = 26 m/s

initial horizontal velocity = 10.58 m/s

initial vertical velocity = 23.75 m/s