Mona wanted to know how far she could throw a stone. She threw a stone, and after 2.1 seconds had passed, the stone reached its greatest height. At this point, the stone had a speed of 9.8 m/s. Determine, to one decimal place, the horizontal distance between Mona and the point where the stone hit the ground. Take .
A target was fired at simultaneously by two adjacent tank cannons with different angles of elevation. Each cannon fires a projectile which hits the target. The cannons had a similar muzzle velocity of 506 m/s, and were standing 1 045 m away from the target. Given that the target and the tank cannon muzzles are on the same horizontal plane and that the projectiles are modelled as particles moving freely under gravity, find the time difference between the two hits, rounding your answer to the nearest decimal place. Take .
A ball was thrown from the top of a building 28 m tall with speed m/s and angle of elevation such that . If the ball hit the ground 8 seconds after it was thrown, find the value of . Take .