Final answer:
The maximum height of the kangaroo's jump is 1.36 m.
Step-by-step explanation:
To find the maximum height of the jump, we need to analyze the vertical component of the kangaroo's motion. The initial vertical velocity can be found using the equation:
vy = v * sin(θ)
where v is the initial velocity (6.32 m/s) and θ is the launch angle (55.8°). Plugging in the values, we have vy = 6.32 m/s * sin(55.8°) = 5.24 m/s.
The maximum height reached by the kangaroo can be calculated using the equation:
h = (vy)2 / (2 * g)
where h is the maximum height and g is the acceleration due to gravity (9.8 m/s2). Plugging in the values, we have h = (5.24 m/s)2 / (2 * 9.8 m/s2) = 1.36 m.