Final answer:
To find the velocity and time it takes for a basketball to reach the basket at different angles, we can use the equations of projectile motion. These equations can be used to analyze objects moving in two dimensions.
Step-by-step explanation:
To find the velocity and time it takes for a basketball to reach the basket at different angles, we can use the equations of projectile motion. These equations can be used to analyze objects moving in two dimensions.
a) When thrown at an angle of 45 degrees, the initial speed of the basketball and the time it takes to reach the basket can be found using the following equations:
Given: Angle = 45 degrees, Distance = 6.1 m, Height = 3.0 m
Step 1: Analyze the vertical motion using the equation: y = y0 + v0y * t - 1/2 * g * t^2
Step 2: Analyze the horizontal motion using the equation: x = x0 + v0x * t
b) For an angle of 60 degrees, follow the same steps as in part a.
c) For an angle of 30 degrees, follow the same steps as in part a.