Final answer:
To find the maximum height a ball reaches when thrown upward, use the equations of motion. Convert the initial velocity to m/s and plug in the values to calculate the maximum height.
Step-by-step explanation:
To find the maximum height a ball reaches when thrown upward, we can use the equations of motion.
Step 1: Convert the initial velocity from mph to m/s:
60 mph = 26.8 m/s (1 mph = 0.447 m/s)
Step 2: Use the equation for maximum height:
h_max = (v_initial^2)/(2g)
where v_initial is the initial velocity and g is the acceleration due to gravity.
In this case, v_initial = 26.8 m/s and g = 9.8 m/s^2.
Plugging in the values, we get:
h_max = (26.8^2)/(2*9.8) = 36.9 m
Therefore, the maximum height the ball reaches is 36.9 meters.