Q. A rocket is launched at an angle of 52° above the horizontal with an initial speed of 103 m/s. The rocket moves for 3s along its initial line of motion with an acceleration of 32 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.
(a) Find out the maximum altitude reached by the rocket.

(b) Find out its total time of flight.

(c) Find out its horizontal range.

2.) A river flows due east at 1.5m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 14m/s due north relative to water.

(i) What is the velocity of the boat relative to shore?

(ii) If the river is 320 m wide, how far downstream has the boat moved by time it reaches the north shore?

3.) A hunter wishes to cross a river that is 1km wide and flows with a speed of 5km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 9 km/h with respect to the water. What is the minimum time required for crossing?