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

Question

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

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.
A. 0.67
B. 2.25
C. 1.5
D. 0.33

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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`

5 views Answered 2023-02-05 15:29