Negative acceleration is the process of slowing down an object’s speed or velocity. It happens when an object is moving in a particular direction and its speed decreases over time.
Negative acceleration is also known as deceleration and is measured in meters per second squared (m/s²).
For instance, when a car brakes to stop, it undergoes negative acceleration as its speed decreases.
The formula for negative acceleration is:
a = (v2 – v1) / t
where:
- a is the negative acceleration;
- v2 is the initial velocity;
- v1 is the final velocity;
- t is the time taken for the object to slow down.
Table of Contents
Daily Life Examples of Negative Acceleration
- A car coming to a stop at a red traffic light.
- An elevator slowing down before it reaches a floor.
- A person jumping from a trampoline and coming to a stop on the ground.
- A bicycle slowing down when the brakes are applied.
- A person slowing down while running and coming to a stop.
- A rollercoaster coming to a stop at the end of the ride.
- A basketball player jumping up to dunk the ball and then landing on the ground.
- A child on a swing slowing down and coming to a stop.
Different Cases of Negative Acceleration
Example | Initial Velocity | Final Velocity | Time | Acceleration Formula | Acceleration Value |
---|---|---|---|---|---|
Car slowing down | 60 mph | 40 mph | 5 seconds | a = (v_f – v_i) / t | -4 mph/s |
Runner stopping | 10 m/s | 0 m/s | 2 seconds | a = (v_f – v_i) / t | -5 m/s^2 |
Train stopping | 50 km/h | 0 km/h | 20 seconds | a = (v_f – v_i) / t | -2.5 km/h^2 |
Rollercoaster | Varies | Varies | Varies | a = (v_f – v_i) / t | Varies |
Multiple Choice Questions
- Which of the following is a synonym for negative acceleration?
A) Acceleration due to gravity
B) Retardation
C) Velocity increase
D) Kinetic energy
Answer: B) Retardation
- An object has an initial velocity of 20 m/s and comes to a stop in 10 seconds. What is its acceleration?
A) -2 m/s^2
B) -4 m/s^2
C) -6 m/s^2
D) -8 m/s^2
Answer: A) -2 m/s^2
- Which of the following is an example of negative acceleration?
A) A ball rolling down a hill
B) A rocket launching into space
C) A car driving at a constant speed on a straight road
D) A person jumping off a diving board
Answer: D) A person jumping off a diving board
- A car is traveling at 50 mph and comes to a stop in 5 seconds. What is its acceleration?
A) -5 mph/s
B) -10 mph/s
C) -15 mph/s
D) -20 mph/s
Answer: D) -20 mph/s
- Which of the following is the correct formula for acceleration?
A) a = v_f / t
B) a = v_i / t
C) a = (v_f – v_i) / t
D) a = m * g
Answer: C) a = (v_f – v_i) / t
More Links
SI Unit of Work| Definition, Formula, and Examples
Uniform Circular Motion| Real-Life Examples
Linear Motion or Rectilinear Motion| Daily Life Examples
Kinematic Equations| Sample Problems and Solutions
Linear Acceleration
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