Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

(a) a plane goes slower after landing. (b) kareem walks from home to sc…

Question

(a) a plane goes slower after landing.

(b) kareem walks from home to school.

Explanation:

Response
Part (a)

Step 1: Analyze the situation

The plane's speed decreases after landing, so we need a graph where \( y \) (speed) decreases as \( x \) (time) increases.

Step 2: Evaluate each graph

  • First graph: Speed increases with time (wrong, since plane slows down).
  • Second graph: Speed decreases with time (matches the situation).
  • Third graph: Speed is constant (wrong).
  • Fourth graph: Speed is undefined (vertical line, wrong).

Step 1: Analyze the situation

Kareem walks from home to school, so his distance from home should increase with time (if moving at a constant speed) or show a non - decreasing trend. Wait, no: when walking from home to school, the distance from home should increase as time passes (assuming constant speed, it's a linear increase). Wait, the given selected graph is the third one (constant distance), which is wrong. Wait, let's re - evaluate:

Wait, the first graph: distance from home starts at 0 and increases with time (correct, as he starts at home (distance 0) and moves towards school, so distance from home increases). The second graph: distance from home decreases (wrong, he is going to school, not back home). The third graph: distance from home is constant (wrong, he is moving). The fourth graph: vertical line (wrong).

Wait, maybe there was a mistake in the original selection. Let's do it correctly:

Step 1: Understand the motion

Kareem starts at home (distance from home = 0) and walks to school, so as time (\( x \)) increases, his distance from home (\( y \)) should increase.

Step 2: Match with graphs

  • First graph: \( y \) (distance from home) starts at 0 and increases with \( x \) (time) – this is correct.
  • Second graph: \( y \) decreases with \( x \) – wrong (he is moving away from home).
  • Third graph: \( y \) is constant – wrong (he is moving).
  • Fourth graph: vertical line – wrong.

But the original selected is the third one, which is incorrect. Assuming that maybe the problem has a different interpretation (e.g., he is not moving, but that contradicts "walks from home to school"). But based on the standard interpretation:

Answer:

The second graph (the one with the decreasing line) should be selected. So the correct option is the second circle (the one under the graph with \( y \)-axis as Plane's Speed, \( x \)-axis as Time, and a line decreasing from left to right).

Part (b)