You are trying to find out how high you have to pitch a water balloon in order for it to burst when it hits the ground. you discover that the balloon bursts when you have pitched it to a height of 11 m. with what velocity did the balloon hit the ground? the acceleration of gravity is 9.8 m/s^2. the positive direction is up, so the velocity when it hits is negative.

Step-by-step explanation:

So, as balloon reaches its maximum height i.e. 11 m , its velocity become 0.

Therefore, .

It is given that acceleration due to gravity should be taken as , .(because it direction is down)

Now it is also given that upward direction is positive and downward direction is negative. So velocity should be negative.

Using equation of motion,

  .....eqn 1.

where , displacement = -11 m(because it displace towards down) and

Putting these values in eqn 1 .

But as we know direction of velocity is downward.

Therefore,

where negative sign indicates its direction is downward.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9