Absolute value has how many solutions A ;2 B:3:C:4

A rocket is launched at an angle of 53 degrees above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s a long its initial line of motion with an acceleration of 30.0 m/s/s. At this time, its engines fail and the rocket proceeds to move as a projectile. Find: 
a) the maximum altitude reached by the rocket 
b) its total time of flight 
c) its horizontal range.

A loud speaker of mass 19.0 kg is suspended a distance of 1.00 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of 3.30 m.
A) What is the tension in each ofthe cables? (Use ${\displaystyle 9.80\frac{m}{s^2}}$ for the magnitude of the acceleration due to gravity.)

A weatherman carried an aneroid barometer from the groundfloor to his office atop a tower. On the ground level, the barometer read 30.150 in Hg absolute; topside it read 28.607 in hg absolute. Assume that the average atmospheric air density was 0.075lb/ft3, estimate the height of the building.

Two blocks with masses 4.00 kg and 8.00 kg are connected by string and slide down a 30.0 degree inclined plane. The coefficient of kinetic friction between the 4.00-kg block and the plane is 0.25; that between the 8.00-kg block and the plane is 0.35.
a) Calculate the acceleration of each block
b) Calculate the tension in the string
c) What happens if the positions of the block are reversed, so that the 4.00-kg block is above the 8.00-kg block?