Question

A grasshopper can jump maximum distance 1.6 m. It spends negligible time on the ground. How far can it go in 10 s ?

Answer 1

Explanation:

Rmax = u²/g = 1.6

u = 4 m/s

Angle made by grasshopper is 45 (to get max distance )

R = ucosФ x t

  = 4 x 1/√2 x 10

  = 20√2 = 28m

Answer 2

Answer:

Distance of grasshopper in 10 seconds = 20√2 m

Explanation:

Maximum distance grasshopper can jump = 1.6 m

grasshopper jumps maximum distance when Ф = 45 deg

Horizontal component of velocity = u /√2

R = U² / g

u = √gR = √10 × 1.6 = 4 m/sec

Distance in 10 sec: 4/√2 × 10 = 20√2 m