How many common tangents are there with two circles touching at one point?

You can find the constant of proportionality by finding the ratio of

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2. after how many seconds will the ball hit the ground before rebounding?

Find the value of x. give reasons to justify your solutions! h ∈ ig