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

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