Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

Step-by-step solution

Let acceleration be a . Given that a = - C We know that, a = v d v d x = - C v d v = - C d x Integrating the above equation, v 2 2 = - C x + k . Thus, the velocity-distance graph is The distance cover by the object is x =   - v 2 2 C + k C . Thus, with the increase in distance, velocity decreases. Now, a = - C = d v d t ⇒ d v = - C d t ⇒ v = - C t + u   ,   straight line