In question #7, the t-shirt has been fired straight upwards and hence the angle of firing is 90 degrees, with respect to the horizontal.
Thus, the time of flight would be,
`t = ((2u sin90)/g) = 3.06 s`
You made a mistake of using 45 degrees as the angle of flight.
Another way to solve the question was to remember that ultimately the t-shirt will reach a velocity of 0 m/s and we can use simple equation of motion (v = u +at) to solve for the time, knowing the values of v, u and a.
In question #8, a sign error in value of g resulted in the mistake. Instead of using g as -9.8 m/s^2, it should have been 9.8 m/s^2. With that value of g, we will get a value of about 6.5 m as he vertical difference between the t-shirt and hot dog.
hope this helps.
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