In order to calculate the time taken by the snowball to reach the highest point in its journey, we need to consider the variables along the y-direction.
Let us list out what we know from the question so that we can decide on the equation to be used.
We know that Initial Y Velocity[tex]V_{iy}[/tex] = 8.4 m/s
Acceleration in the Y direction [tex]a_{y}[/tex] = -9.8 m/[tex]s^{2}[/tex], since the acceleration due to gravity points in the downward direction.
Final Y Velocity [tex]V_{fy}[/tex] = 0 because at the highest point in its path, an object comes to rest momentarily before falling down.
Time taken t = ?
From the list above, it is easy to see that the equation that best suits our purpose here is [tex]V_{fy} = V_{iy} + a_{y}t[/tex]
Plugging in the numbers, we get 0 = 8.4 - (9.8)t
Solving for t, we get t = 0.857 s
Therefore, the snowball takes 0.86 seconds to reach its highest point.
