Answer:
t=0.58s
Explanation:
We can consider only the horizontal component since the horizontal component of the velocity is constant ([tex]v_x=vcos\theta[/tex]), and we want to know how much time it takes for the balloon to travel a horizontal distance [tex]d_x[/tex] at that speed. The definition of (horizontal) velocity is [tex]v_x=\frac{d_x}{t}[/tex], so we have:
[tex]t=\frac{d_x}{v_x}=\frac{d_x}{vcos\theta}=\frac{(20m)}{(40m/s)cos(30^{\circ})}=0.58s[/tex]
