Question

The x and y coordinates of a particle at any time t are given by `x=7t+4t^2` and `y=5t`, where x and t is seconds. The acceleration of particle at `t=5`s is
A. zero
B. `8m//s^(2)`
C. `20m//s^(2)`
D. `40m//s^(2)`

Answer 1

Correct Answer - B
`x=7 t+4t^(2) v_(x)=(dx)/(dt)=7+4xx2t`
`a_(1)=(dv_(x))/(dt)=8 m//sec^(2)`
`y=5 t rArr v_(y)=(dy)/(dt)=5` and `a_(y)=0`
`therefore a=sqrt(a_(x)^(2)+a_(y)^(2))=sqrt((8)^(2)+0)=8 m//s` does not depend on time.