At a football game, an air gun fires t-shirts into the crowd. the gun is fired at an angle of 32° from the horizontal with an initial speed of 30 m/s. a fan who is sitting 60 m horizontally from the gun, but high in the stands, catches a t-shirt. a) how long does it take for the t-shirt to reach the fan?
b) at what height h is the fan from the ground?

A) The time it takes for the T-shirt to reach the fan is 2.3582s

B) The height the fan is from the ground is 10.2438m

Explanation:

First, we need to find the velocity vectors for each axe:

Next, using the movement equation for the x axis, we get the time:

Finally, using the movement equation for the y axis, we find the height (assuming the gravity as 9,8)

conservation of mass

mass before something happens = mass afterwards