Final answer:
To determine the speed at which Sparky would kick, we can use the concept of projectile motion.
Step-by-step explanation:
To determine the speed at which Sparky would kick, we can use the concept of projectile motion. First, we can calculate the time it takes for Sparky to fall from the deck to the ground using the equation:
t = sqrt(2h/g)
where h is the height of the deck (4.5m), and g is the acceleration due to gravity (9.8 m/s^2).
Substituting the values, we get:
t = sqrt(2(4.5)/9.8) = 1.06 seconds
To find the horizontal velocity (vx) at which Sparky lands, we can use the equation:
vx = d/t
where d is the horizontal distance Sparky travels (1.8m).
Substituting the values, we get:
vx = 1.8/1.06 = 1.7 m/s
Therefore, Sparky would kick at a speed of 1.7 m/s.