Question

grasshopper finds that he can jump a maximum horizontal distance of 1 m.With what speed can he travel along the road if he spends a negligible time onthe ground?​

Answer 1

Given info : grasshopper finds that he can jump a maximum horizontal distance of 1 m.

To find : the speed of grasshopper by which he can travel along the road if he spends a negligible time on the ground.

solution : we know, horizontal range , R = u²sin2θ/g

horizontal range will be maximum when sin2θ becomes maximum.

i.e., sin2θ = 1

So, maximum range, R = u²/g

Here R = 1m , g = 10 m/s²

So, u² = 1m × 10 m/s²

⇒u = √10 m/s

Therefore the speed of grasshopper is √10 m/s

Answer 2

Explanation:

R max = u^2 sin 2 theta

Rmax = u^2/g

sin2 theta =sin 90

2theta=90

theta=45

upply in this above formula

Rmax = u^2/g

1=u^2/9.8

u^2= 9.8

under root of 9.8= u

u= 3.16 mls