A rocket is launched at an angle of 53° above the horizontal with an initial speed of 75 m/s. It moves in powered flight along its initial line of motion with an acceleration of 25 m/s^2. At 30 s(seconds) from launch, its engine fails and the rocket continues to move as a projectile.
(a) What is the rocket's max altitude? (ymax)
(b) What is the rocket's total time of flight? (tτ)
(c) What is the rocket's horizontal range? (R/x)
My given information looks like this: θ= 53°, v1= 75 m/s, a=25 m/s, t= 30s, Δy=0
The Attempt at a Solution
I tried resolving the velocity into x and y components but i'm not even sure if that's useful information. I also attempted to use the above equations but to no avail... I just need to get this started so that I can finish it. The problem is i'm not sure where to start.