1.

Grasshopper A taken (2)/(3) rd time in covering the same distance than that of grasshopper B. Grasshopper spent negligible time on the ground while taking the maximum jump to cover the distance. Find the ratio of jump (distance) of grasshopper A to jump of grasshopper B.

Answer»

0.67
2.25
1.5
0.33

Solution :Maximum range `(theta=45^(@))=(u^(2))/(g)=R`(SAY)
Distance covered is same
`U_(A) cos 45^(@)t_(A)=u_(B) cos 45^(@)t`
Given `t_(A)=(2)/(3)t_(B)`
`(t_(A))/(t_(B))=(2)/(3)t_(B)`
`(t_(A))/(t_(B))=(2)/(3)=(u_(B))/(u_(A))=(g^(R)B)^(1//2)/((g^(R)A)^(1//2))`
`(R_(A))/(R_(B))=(9)/(4)=2.25`


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