Question

Depict the show v-x graph in a-x graph. ​

Answer 1

Answer:

option a is correct

Explanation:

Equation of a line

is y = mx + c

v = mx + c

m = (0 - v0)/(x0 - 0)

m = -v0/x0

v = -(v0/x0)x  + c

at x = 0  v = v0

v0 =  0 + c

=> c = v0

v = -(v0/x0)x  + v0

dv/dt = -(v0/x0)dx/dt

=>a  = -(v0/x0)v

=> a = -(v0/x0)(-(v0/x0)x  + v0)

=> a = (v0/x0)²x - v0²/x0

putting x = 0

a = - v0²/x0

Putting x = x0

a = 0

Hence option a is correct

Option d would have been correct if graph would have been v-t

& a-t  graph