Math Problem Statement
A particle starts from rest and moves in a straight line with constant acceleration. In a certain 4 seconds of its motion it travels 12 m and in the next 5 seconds it travels 30 m. What is the acceleration of the particle? What is the velocity of the particle at the start of timing? Find the distance it had travelled before timing started.
Solution
The image shows a physics problem related to motion under constant acceleration. Here's a breakdown of the steps for each part of the problem:
Information given:
- A particle starts from rest.
- It moves in a straight line with constant acceleration.
- In the first 4 seconds, the particle travels 12 meters.
- In the next 5 seconds, the particle travels 30 meters.
Required:
- Acceleration of the particle.
- Velocity of the particle at the start of timing.
- **Distance travelled before timing started
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Math Problem Analysis
Mathematical Concepts
Kinematics
Constant Acceleration
Distance-Time Relationship
Velocity
Formulas
s = ut + (1/2)at^2
v = u + at
s = (1/2)(u + v)t
Theorems
Equations of motion under constant acceleration
Suitable Grade Level
Grades 9-11
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