Uniform Accelerated Motion

🎯 Class Objective:

The student relates Uniform Rectilinear Motion to motion with variable velocity, applies the equations of uniformly accelerated motion, and creates analogies between equations, graphs, and real-life situations to explain and predict motion behavior.

🚗 Motion – URM – UAM – Free Fall – Graphs

A. Uniform Rectilinear Motion (URM)

A train moves at 25 m/s for 12 s.
Find the distance traveled.

A cyclist travels 360 m in 18 s.
Find the velocity.

From a position–time graph with constant negative slope:
Describe the motion (direction and speed).

An object moves at constant speed and covers 500 m in 20 s.
Find its velocity and write the equation of motion.

B. Uniformly Accelerated Motion (UAM)

A car starts from rest with acceleration 3 m/s² for 6 s.
Find:
a) Final velocity
b) Displacement

A body moves at 20 m/s and slows down to 5 m/s in 5 s.
Find acceleration.

An object has acceleration 4 m/s² and initial velocity 2 m/s.
Find velocity after 7 s.

Compare URM and MUA graphs:
How does the slope of velocity–time graphs differ?

C. Graph Interpretation

Given:
Position–time graph is a curve that becomes steeper over time.

• What type of motion is it?

• Is velocity constant or changing?

• What does the increasing slope indicate?

Given:
Velocity–time graph is a straight line with positive slope.

• What does the slope represent?

• What does the area under the curve represent?

• Is acceleration positive or negative?

Given:
Velocity–time graph is horizontal but below zero.

• What does this indicate about motion?

• Is the object accelerating?

• What does the sign of velocity represent?

D. Free Fall

An object is dropped from rest.
Find velocity after 4 s.

An object falls freely for 5 s.
Find the distance traveled.

A ball is thrown downward with initial velocity 10 m/s.
Find velocity after 3 s.

How long does it take for an object to reach a velocity of 30 m/s in free fall?

Compare free fall equations with MUA equations:
What is the value of acceleration and why?