Uniformly Accelerating Motion

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Questions and Answers

What is the primary condition to determine that an object is in motion?

It moves in a circular path

It gains speed

It covers a distance and uses time (correct)

It moves in a straight line

What is the unit of measurement for distance?

Meter (m), kilometer (km) and mile (mi) (correct)

Second (s) and hour (h)

Kilogram (kg) and gram (g)

Meter (m) and kilometer (km) only

What is acceleration according to the lesson?

The rate of change of speed

The rate of change of position

The rate of change of time

The rate of change of velocity (correct)

What is the term for the speed of an object at the beginning of its motion?

Initial velocity (vi) Signup and view all the answers

What is the term used to describe the speed of an object at the end of its motion?

Final velocity (vf) Signup and view all the answers

What are the units of measurement for velocity?

Meter per second (m/s) and kilometer per hour (km/h) Signup and view all the answers

What is the constant acceleration of an object due to gravity?

9.8 m/s Signup and view all the answers

What is the magnitude of acceleration of an object thrown upward?

the same as when it falls back Signup and view all the answers

How long would it take for an object to fall from a height of 49 m?

10 seconds Signup and view all the answers

What is the final velocity of an object that starts from rest and covers a distance of 5m in 2.5 seconds?

2.45 m/s Signup and view all the answers

What is the acceleration of gravity on the moon?

1.62 m/s2 Signup and view all the answers

What is motion defined as?

a change of position with respect to an object's reference point Signup and view all the answers

What is the direction of the velocity of the ball when it falls back to the point where it was thrown?

Downward Signup and view all the answers

What is the acceleration of the ball in the given problem?

-9.8 m/s^2 Signup and view all the answers

What is the final velocity of the ball before it hits the ground?

-25.48 m/s Signup and view all the answers

How high is the building from which the ball was thrown?

33.11 m Signup and view all the answers

What is the formula used to calculate the final velocity of an object in uniform acceleration?

vf = vi + ag (t) Signup and view all the answers

What is the minimum takeoff speed required for the Philippine tarsier to jump to a height of 1.5 meters?

5.62 m/s Signup and view all the answers

What is the initial velocity of a car that travels from rest to reach its destination at a speed of 25 m/s?

0 m/s Signup and view all the answers

Which of the following objects shows a uniform motion in the horizontal dimension?

a car in the park Signup and view all the answers

If a car accelerates uniformly from rest to a final speed of 22 m/s in 9 seconds, how far does it travel during this period of acceleration?

396 meters Signup and view all the answers

A bus is traveling along a straight road at 13 m/s. It accelerates uniformly for 15 seconds until it is moving at 25 m/s. What was the acceleration of the bus?

2.53 m/s^2 Signup and view all the answers

What is the formula for determining the distance traveled by an object under uniform acceleration?

d = vi(t) + at^2/2 Signup and view all the answers

A train accelerates to a speed of 20 m/s over a distance of 150 meters. What is the acceleration of the train?

2.67 m/s^2 Signup and view all the answers

What is the correct description of vertical dimension in uniformly accelerated motion?

Motion in an upward and downward position Signup and view all the answers

What is the acceleration of a bus that is slowing down at a rate of 3 m/s2 each second?

3 m/s2 Signup and view all the answers

How far did the bus travel before it stopped, if it was initially moving at 20 m/s and slowed down at a rate of 3 m/s2 each second?

66.7 m Signup and view all the answers

What is the height above the ground from which the ball was dropped?

50 meters Signup and view all the answers

How long does it take for the ball to reach the ground, if it was dropped from a height of 50 meters?

3.19 s Signup and view all the answers

What type of motion is exhibited by a car in a garage?

Stationary motion Signup and view all the answers

Study Notes

Uniformly Accelerated Motion

Vertical dimension involves motion in upward and downward directions.
Acceleration due to gravity is approximately 9.8 m/s².
Objects dropped from a height experience free fall and their final velocities are influenced by gravitational acceleration.
Key equations for uniformly accelerated motion include:
- vf = vi + at
- d = vi(t) + 0.5at²
Instantaneous velocity can be derived from:
- If initial velocity (vi) is 0: vf = at at the time ( t ).

Motion Concepts

Motion is the change in position with respect to a reference point.
Distance is measured in meters (m), kilometers (km), and miles (mi).
Time is tracked in seconds (s), hours (h), and minutes (min).
Velocity is commonly represented in meters per second (m/s) or kilometers per hour (km/h).
Acceleration is defined as the rate of change of velocity.

Example Problems

A bus moving at 20 m/s decelerating at 3 m/s² will stop after traveling approximately 66.7 m.
A ball dropped from a height of 50 m will take about 3.19 seconds to hit the ground.
The height of a building can be calculated from the fall time and gravitational acceleration, yielding a height for a fall of 10 seconds of 490 m.

Motion in Vertical Dimension

When an object is thrown upward, it decelerates until reaching a maximum height, then accelerates downward under gravity.
The final and initial velocities are equal in magnitude but opposite in direction during vertical motion.

GUFSA Method

Used for problem-solving which stands for:
- Given: Information provided.
- Unknown: What needs to be found.
- Formula: Relevant formulas to apply.
- Substitution: Inserting known values into formulas.
- Answer: Calculated results.

Additional Concepts

Acceleration can be calculated using displacement and time; a car accelerating from rest to 22 m/s in 9 seconds travels 99 meters.
A train achieving 20 m/s over 150 meters demonstrates an acceleration that can be calculated and depends on both distance and speed change.

Real-World Application

Everyday activities like lifting an object or driving a car can be described using the principles of motion.
The study of motion helps in understanding dynamics involved in various sports, physics experiments, and engineering applications.

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Description

This quiz is about understanding motion and how to determine if an object is in motion. It covers concepts related to uniformly accelerating motion and horizontal dimension motion.