Answer:
The time is 5.10 sec.
Explanation:
Given that,
Component of velocity are 30 m/s and 40 m/s.
We need to calculate the resultant velocity
Using formula of resultant velocity
[tex]v=\sqrt{v_{x}^2+v_{y}^2}[/tex]
Put the value into the formula
[tex]v=\sqrt{(30)^2+(40)^2}[/tex]
[tex]v=50\ m/s[/tex][
We need to calculate the time
Using equation of motion
[tex]v = u+gt[/tex]
[tex]v = 0+gt[/tex]
[tex]t=\dfrac{v}{g}[/tex]
Put the value into the formula
[tex]t=\dfrac{50}{9.8}[/tex]
[tex]t=5.10\ sec[/tex]
Hence, The time is 5.10 sec.