Answer:
2.94 seconds.
Step-by-step explanation:
The ball will hit the ground when the height of the ball is 0 meters.
The equation is...
h = 61 - 6t - 5t^2.
-5t^2 - 6t + 61 = 0
5t^2 + 6t - 61 = 0
We can use the quadratic formula to solve.
[please ignore the A-hat; that is a bug]
, where a = 5, b = 6, and c = -61.
= 
= 
= 
= 
= 
Since time cannot be negative, we will not minus the 35.44009029.
(-6 + 35.44009029) / 10 = 29.44009029 / 10 = 2.944009029
That is approximately 2.94 seconds.
Hope this helps!