Question

A velocity vs. time graph for an object is shown.

Which parts of the graph represents the object moving at a
constant, positive acceleration?
W and X
X and Y
Y and Z
W and Z

Answer 1

W & X

Step-by-step explanation:

gradient of a velocity - time graph indicates the acceleration.

straight lines ,

`gradient = (difference...in..Y..direction)/(difference..in..X..direction)`

• positive gradient ----> acceleration
• negative gradient-----> deceleration
• gradient = 0 ------> constant velocity

curved lines indicate changing acceleration/deceleration

If we consider the gradient values here ,

W ----- 15/1 = 15

X-------(20-15)/1 = 5

Y ------(0/2) = 0

Z-------(0-20)/1 = (-20)

looking at these we can say

Y motion has no acceleration : moves in a constant velocity

Z motion has a negative acceleration (deceleration)

W & X have accelerating motion.

`W_(acceleration)> X_(acceleration)`