When leaping at an angle of 47.7° above the horizontal, a froghopper reaches a maximum height of 42.4 cm above the level ground. What was the takeoff speed for such a leap?

What horizontal distance did the froghopper cover for this world-record leap?

39 cm / s

77.25 cm approx

Explanation:

Angle of projection θ = 47.7°

Maximum height H = 42.4 cm

Initial velocity = u = ?

we know that

maximum height

H = U² x sin²θ / 2g

U² = H x 2g / sin²θ

Putting the values

U² = (42.4 X 2 X9.8) / (sin47.7) ²

U = 39 cm / s

Horizontal Range R = U²sin2θ / 2g

= 39 x 39 x (sin95.4) / 2 x 9.8

R = 77.25 cm approx