234k views
2 votes
The cat runs toward the mouse for food at different speed. Given the data below, calculate the speed of the cat.

Posotion Time (s) Distance (m) Speed (m/s)
A 0 0 [1]
B 1 1 [2]
C 2 1 [3]
D 3 1.5 [4]
E 4 4 [5]
F 5 2 [6]

Guide Questions:
From the speed you have calculated above, tell which position corresponds to the situation below:
Stationary:
Constant speed:
Speeding Up:
Slowing down:

User Nataraj KR
by
7.7k points

1 Answer

4 votes

Final answer:

The speed of the cat is calculated at various positions using the provided data, with speed being the distance divided by time. The cat is stationary at position B, moves with constant speed from A to B, speeds up from D to E, and slows down from E to F.

Step-by-step explanation:

To calculate the speed of the cat at various positions, we can use the data provided.

The speed can be calculated using the formula: Speed = Distance รท Time.

  1. For position A to B: Speed = (1 - 0) m / (1 - 0) s = 1 m/s
  2. For position B to C: Speed = (1 - 1) m / (2 - 1) s = 0 m/s
  3. For position C to D: Speed = (1.5 - 1) m / (3 - 2) s = 0.5 m/s
  4. For position D to E: Speed = (4 - 1.5) m / (4 - 3) s = 2.5 m/s
  5. For position E to F: Speed = (2 - 4) m / (5 - 4) s = -2 m/s (This indicates the cat is moving in the opposite direction.)

Based on the calculated speeds:

  • The cat is Stationary at position B (0 m/s).
  • The cat moves with a Constant speed from A to B (1 m/s).
  • The cat is Speeding up from D to E (from 0.5 m/s to 2.5 m/s).
  • The cat is Slowing down from E to F (-2 m/s indicates a change in direction).

User Varun Bajaj
by
7.9k points