Final answer:
The question involves calculations of initial speeds and trajectories of golf shots in two scenarios using the principles of projectile motion, which require physics equations and graphical representations.
Step-by-step explanation:
The student's question revolves around the initial speeds and trajectories of a golf ball in two different golfing scenarios.
In the first scenario from the second hole, the ball is hit at an angle of 30° to cover 90 m before rolling onto the green. In the second scenario from the fourth hole, the ball is hit at a 70° angle to travel 90 m and land with minimal rolling.
To calculate the initial speed of the ball for both of these scenarios, we would need to use the principles of projectile motion. The trajectory equation for projectile motion takes into account the angle of launch, the initial speed, the acceleration due to gravity, and the distance covered.
However, these computations need the application of physics equations and would typically involve breaking down the motion into horizontal and vertical components and applying kinematic formulas.
To graph the trajectories of the golf shots, a graphing utility would be used. The trajectories represent the path of the ball through the air from the point of impact to where it lands.