Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a velocity-time graph is shown, displaying the behavior of a race cart …

Question

a velocity-time graph is shown, displaying the behavior of a race cart along a linear track. during which time interval did it travel in a negative direction?
a 0-10 min
b 10-15 min
c 15-30 min

Explanation:

Step1: Understand Velocity Sign

In a velocity - time graph, the sign of velocity indicates direction. Negative velocity means motion in the negative direction.

Step2: Analyze Time Intervals

  • For interval A (0 - 10 min): We need to check the velocity values. From the graph, in this interval, the velocity seems to be positive (since the graph is above the time axis or has positive values, indicating motion in the positive direction).
  • For interval B (10 - 15 min): Looking at the graph, the velocity values in this interval are negative (the graph is below the time axis or has negative values), which means the cart is moving in the negative direction.
  • For interval C (15 - 30 min): The velocity values here are positive (graph above the time axis), so motion is in the positive direction.

Answer:

B. 10 - 15 min