a. x=mt²+c

v=dx/dt=2mt

a=dv/dt=2m=const.

so, 1,4 are correct.

b. x=mt+c

v=dx/dt=m=const.

a=dv/dt=o

so, 3,5 are correct.

c. v²=mx+c

or, v=(mx+c)^1/2

a=dv/dt={m(mx+c)^-1/2/2}(dx/dt)={m(mx+c)^-1/2/2}v=m/2=constant.

so, 1,4 are correct.

d. v=mx+c

a=dv/dt=mdx/dt=mv=m(mx+c)

so, 2,4 are correct.

to understand the above method, you must have knowledge of deifferntiation and straight line eqn.

for more, you may ask---

piyush agrawal

class 12 student