Final answer:
To solve the problem, calculate the range, maximum height, and speed of the projectile. Use the given initial speed and angle of elevation, as well as trigonometry and kinematic equations.
Step-by-step explanation:
To solve this problem, we can break down the initial velocity of the projectile into horizontal and vertical components. The horizontal component remains constant throughout the motion, while the vertical component is affected by gravity. Using the given initial speed of 700 m/sec and angle of elevation of 30 degrees, we can calculate the horizontal and vertical velocities using trigonometry.
(a) The range of the projectile is the horizontal distance it travels. It can be calculated using the formula Range = (initial horizontal velocity) x (time of flight).
(b) The maximum height of the projectile can be determined by finding the vertical displacement at the highest point. The time it takes to reach the highest point can be calculated using the formula Time to peak = (vertical component of initial velocity) / (acceleration due to gravity). The maximum height is then given by the formula Maximum height = (vertical component of initial velocity)^2 / (2 x acceleration due to gravity).
(c) The speed with which the projectile hits the ground can be calculated using the formula Speed = (initial horizontal velocity) / (time of flight).