An adult kangaroo can jump as high as 1.80 meters. With what initial velocity (in m/s) must a kangaroo leave the ground to reach this maximum height?
Answers
Answer:
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The initial velocity required to reach this maximum height is 5.94 m/s
Given: An adult kangaroo can jump as high as 1.80 meters.
To Find: Initial velocity (in m/s) with which a kangaroo must leave the ground to reach this maximum height.
Solution:
- We can solve this numerical by applying the equation of motion,
v² = u² - 2gH [ negative sign used since the velocity is decreasing]
where, v = final velocity, u = initial velocity, H = distance.
- We also know that the final velocity becomes zero when the object reaches the maximum height.
Coming to the numerical, let the initial velocity be ' u '.
According to the second point, v = 0. H = 1.8 m
v² = u² - 2gH
Putting respective values in the equation we get,
⇒ 0 = u² - 2 × 9.8 × 1.8
⇒ u² = 35.28
⇒ u = √35.28 m/s
= 5.94 m/s
Hence, the initial velocity required to reach this maximum height is 5.94 m/s.
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