Question

A Fleas can jump up a distance as large as 33 cm horizontally in a single leap (they are only 0.3 mm in size!). What is their launch velocity v if you assume they use the optimal launch angle

Answer 1

Answer:

Launch velocity of the fleas = 1.80 m/s

Explanation:

Optimal launch angle is the angle that guarantees the maximum horizontal distance covered.

Optimum launch angle = 45°

The horizontal distance covered by a projectile is given as Range

R = (u² sin 2θ)/g

u = initial velocity of the projectile (flea) = ?

R = range = 33 cm = 0.33 m

θ = 45°

2θ = 2 × 45° = 90°

Sin 90° = 1

g = acceleration due to gravity = 9.8 m/s²

R = (u²/g)

u² = Rg = 0.33 × 9.8 = 3.234

u = 1.80 m/s

Hope this helps!!!