Math Problem Statement

The problem refers to a motorcar race where the cars travel a distance of 400 meters, and perform various maneuvers with different velocities. The velocities mentioned are in meters per second (ms⁻¹). The questions include calculating average speed, time, and possibly acceleration.

Solution

The image you've uploaded contains a physics problem written in Sinhala, which discusses motion, velocity, and time in a few different cases.

Here's a quick breakdown:

The problem refers to a motorcar race where the cars travel a distance of 400 meters and perform various maneuvers with different velocities. The velocities mentioned are in meters per second (ms⁻¹).

There are multiple parts to the question, which seem to ask for the following:

  1. (i) To calculate the average speed of the motorcar for a given part of the journey.
  2. (ii) To calculate the time taken when the car changes velocity from 60 ms⁻¹ to 30 ms⁻¹ over a period of 4.5 seconds.
  3. Further questions (iv, v) seem to involve different initial and final speeds and might also ask for calculations related to acceleration or time.

Would you like me to go through each of these parts and provide the solutions?

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Math Problem Analysis

Mathematical Concepts

Kinematics
Motion
Velocity
Acceleration
Time

Formulas

Average speed = Total distance / Total time
v = u + at (where v is final velocity, u is initial velocity, a is acceleration, t is time)
s = ut + 0.5at² (for displacement with uniform acceleration)

Theorems

Equations of motion

Suitable Grade Level

Grades 9-12