A Car Traveling At A Speed Of 13 M/s - Question Solved
If you want to know the answer to the question of a car traveling at a speed of 13 m/s, you are on the right page. Here is the detailed answer. Keep reading.
Author:Xander OddityReviewer:Dr. Felix ChaosphereOct 01, 202227 Shares428 Views
If you want to know the answer to the question of a car traveling at a speed of 13 m/s,you are on the right page. Here is the detailed answer. Keep reading.
Question:A car traveling at a speed of 13 m/s accelerates uniformly to a speed of 25 meters per second in 5.0 seconds.
(a) Calculate the magnitude of the acceleration of the car during this 5.0-second interval.
(b) A truck traveling at a constant speed covers the same total distance as the car in the same 5.0-second interval. Determine the speed of the truck.
Answer: Acceleration of the car: 2.4 m/s^2
Explanation:
The acceleration of the car is given by:
a = v - u/t
where
v = 25 m/s is the final velocity of the car
u = 13 m/s is the initial velocity
t = 5.0 s is the time taken
Substituting the numbers into the equation, we find
a=(25m/s-13m/s)/5.0
= 2.4m/s^2
2) Speed of the truck: 19 m/s
First of all, we need to find the total distance covered by the car, which is given by the equation:
d = ut+1/2at^2
= 13m/s*5.0s+1/2(2.4m/s^2)(5.0s)^2
= 95m
The truck covers the same distance in t=5.0 s, traveling at constant speed; therefore, its speed is given by:
v=d/t
=95m/5.0s
=19m/s
Question: A car is traveling at a speed of 30 m/s encounters an emergency and comes to a complete stop. How much time will it take for a car to stop if it decelerate at-4.0 m/s2?
Answer: V = Vo + at
0 m/s = 30 m/s + (-4.0 m/s2) (t)
-30 m/s = (-4.0 m/s2) (t)
(-30 m/s) / (-4.0 m/s2) = t
t = 7.5 s
The (-) sign is for magnitude, speeding up or slowing down.
So, let's discuss the terms discussed in the above question.
So, what is acceleration?
Acceleration
Any process in which there is a change in velocity is known as acceleration. Acceleration is the word we give to this change.
Because velocity is both a speed and a direction, you can only accelerate in one of two ways: change your speed, change your direction, or change both.
Formulas Of Acceleration
- a = (v_f - v_i) / Δt.
- a = 2 * (Δd - v_i * Δt) / Δt².
- a = F / m.
Equation Of Motion
The one used above is the 2nd equation of motion.
The second equation of motion describes the link that exists between an object's starting velocity, its displacement, and its acceleration. t = time. 3.)
The second equation is particularly useful in obtaining the displacement, acceleration, beginning velocity, and time.
People Also Ask
How Do U Calculate Acceleration?
Acceleration, denoted by the letter a, is defined as the ratio of the rate of change in velocity to the rate of change in time, as seen in the equation a = v/t. Because of this, you will be able to determine the rate of change in velocity in meters per second squared (m/s2).
What Is The Second Equation Of Motion?
This is the second equation of motion: d = ut+1/2at^2.
What Are The 3 Equations Of Motion?
- First Equation of Motion : v = u + a t.
- Second Equation of Motion : s = u t + 1 2 a t 2.
- Third Equation of Motion : v 2 = u 2 + 2 a s.
Conclusion
Hope you find the solution to the question of a car traveling at a speed of 13 m/s accelerating uniformly to a speed of 25 meters per second in 5.0 seconds useful. Keep visiting to learn more.
Xander Oddity
Author
Xander Oddity, an eccentric and intrepid news reporter, is a master of unearthing the strange and bizarre. With an insatiable curiosity for the unconventional, Xander ventures into the depths of the unknown, fearlessly pursuing stories that defy conventional explanation. Armed with a vast reservoir of knowledge and experience in the realm of conspiracies, Xander is a seasoned investigator of the extraordinary.
Throughout his illustrious career, Xander has built a reputation for delving into the shadows of secrecy and unraveling the enigmatic. With an unyielding determination and an unwavering belief in the power of the bizarre, Xander strives to shed light on the unexplained and challenge the boundaries of conventional wisdom. In his pursuit of the truth, Xander continues to inspire others to question the world around them and embrace the unexpected.
Dr. Felix Chaosphere
Reviewer
Dr. Felix Chaosphere, a renowned and eccentric psychiatrist, is a master of unraveling the complexities of the human mind. With his wild and untamed hair, he embodies the essence of a brilliant but unconventional thinker. As a sexologist, he fearlessly delves into the depths of human desire and intimacy, unearthing hidden truths and challenging societal norms.
Beyond his professional expertise, Dr. Chaosphere is also a celebrated author, renowned for his provocative and thought-provoking literary works. His written words mirror the enigmatic nature of his persona, inviting readers to explore the labyrinthine corridors of the human psyche.
With his indomitable spirit and insatiable curiosity, Dr. Chaosphere continues to push boundaries, challenging society's preconceived notions and inspiring others to embrace their own inner tumult.
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