What can you say about the motion of a body if..?

Question

What can you say about the motion of a body if:

a. It's displacement-time graph is a straight line inclined with the time axis.

b. Its velocity-time graph is a straight line inclined with the time axis.

c. Its velocity-time graph is a parabola?

Thanks for your help.

Answer 1

a) constant motion/velocity because the slope the of the graph d/t is equal to velocity and since it is straight that must mean it is constant

b) accelerated motion (body undergoes acceleration) because slope of graph v/t is equal to an object's acceleration, also because velocity is changing with time that must mean object must be changing speeds known as acceleration

c) not really velocity-time graph (they never form parabolas) it is a distance-time graph   projectile motion because body is encountering gravitational forces, when it is going up the height is increasing and velocity is decreasing ( increasing part of parabola ) and when it is going down gravity accelerates it ( decreasing part of parabola) this motion is curved because it is influenced by its original velocity and gravity's acceleration

hope this helps