Question

The relation between time t and displacement x is `t = alpha x^2 + beta x,` where `alpha and beta` are constants. The retardation is
A. `2alphav^(3)`
B. `2betav^(2)`
C. `2alphabetav^(2)`
D. `abeta^(2)v^(3)`

Answer 1

Correct Answer - A
`t=alphax^(2)+betaxrArr1 =(2alpha x+beta)vrArr v=1/(beta+2alphax)`
`:.` Acceleration `=(2alpha)/((beta+2alphax)^(2))v=2alphav^(3)`