Final answer:
The initial velocity of the skittle when thrown straight up is 41.16 m/s.
Step-by-step explanation:
To find the initial velocity of the skittle when thrown straight up, we can use the formula:
v = u + at
where v is the final velocity (0 m/s when it reaches max height), u is the initial velocity (what we are trying to find), a is the acceleration due to gravity (-9.8 m/s²), and t is the time taken to reach max height (4.2 seconds).
Plugging in these values, we can solve for u:
0 = u + (-9.8)(4.2)
u = 9.8(4.2)
u = 41.16 m/s
Therefore, the initial velocity of the skittle when thrown straight up is 41.16 m/s.