What is the velocity of a car if the acceleration is 15m/s^2 and the time taken in 2s?
Dr. Badi M
Experienced Academic and dedicated tutor for all levels.
Simply use the equation v=u+at assuming car started from rest then initial velocity u=0 so final velocity v = 15*2=30 m/s^2
Medical student with a passion for helping students achieve their full potential
Here you can use the suvat equations. What we know; S (displacement)=? U (initial velocity)=0 V (final velocity)= what we’re trying to find A (acceleration)=15m/s2 T (time)=2seconds We then use the formula which includes the variables that we have which is; V=U+AT Therefore; V=0+(15)(2) V=30m/s Therefore the velocity of the car is 30m/s Hope that helps! Mo
Project Manager Data Entry, CS, Amazon Product and Web Researcher & Admin Task
Acceleration Speed and Velocity Acceleration The Centripetal Force Requirement The Forbidden F-Word Mathematics of Circular Motion As mentioned earlier in Lesson 1, an object moving in uniform circular motion is moving in a circle with a uniform or constant speed. The velocity vector is constant in magnitude but changing in direction. Because the speed is constant for such a motion, many students have the misconception that there is no acceleration. "After all," they might say, "if I were driving a car in a circle at a constant speed of 20 mi/hr, then the speed is neither decreasing nor increasing; therefore there must not be an acceleration." At the center of this common student misconception is the wrong belief that acceleration has to do with speed and not with velocity. But the fact is that an accelerating object is an object that is changing its velocity. And since velocity is a vector that has both magnitude and direction, a change in either the magnitude or the direction constitutes a change in the velocity. For this reason, it can be safely concluded that an object moving in a circle at constant speed is indeed accelerating. It is accelerating because the direction of the velocity vector is changing. Geometric Proof of Inward Acceleration To understand this at a deeper level, we will have to combine the definition of acceleration with a review of some basic vector principles. Recall from Unit 1 of The Physics Classroom that acceleration as a quantity was defined as the rate at which the velocity of an object changes. As such, it is calculated using the following equation: where vi represents the initial velocity and vf represents the final velocity after some time of t. The numerator of the equation is found by subtracting one vector (vi) from a second vector (vf). But the addition and subtraction of vectors from each other is done in a manner much different than the addition and subtraction of scalar quantities. Consider the case of an object moving in a circle about point C as shown in the diagram below. In a time of t seconds, the object has moved from point A to point B. In this time, the velocity has changed from vi to vf. The process of subtracting vi from vf is shown in the vector diagram; this process yields the change in velocity. Direction of the Acceleration Vector Note in the diagram above that there is a velocity change for an object moving in a circle with a constant speed. A careful inspection of the velocity change vector in the above diagram shows that it points down and to the left. At the midpoint along the arc connecting points A and B, the velocity change is directed towards point C - the center of the circle. The acceleration of the object is dependent upon this velocity change and is in the same direction as this velocity change. The acceleration of the object is in the same direction as the velocity change vector; the acceleration is directed towards point C as well - the center of the circle. Objects moving in circles at a constant speed accelerate towards the center of the circle. The acceleration of an object is often measured using a device known as an accelerometer. A simple accelerometer consists of an object immersed in a fluid such as water. Consider a sealed jar that is filled with water. A cork attached to the lid by a string can serve as an accelerometer. To test the direction of acceleration for an object moving in a circle, the jar can be inverted and attached to the end of a short section of a wooden 2x4. A second accelerometer constructed in the same manner can be attached to the opposite end of the 2x4. If the 2x4 and accelerometers are clamped to a rotating platform and spun in a circle, the direction of the acceleration can be clearly seen by the direction of lean of the corks. As the cork-water combination spins in a circle, the cork leans towards the center of the circle. The least massive of the two objects always leans in the direction of the acceleration. In the case of the cork and the water, the cork is less massive (on a per mL basis) and thus it experiences the greater acceleration. Having less inertia (owing to its smaller mass on a per mL basis), the cork resists the acceleration the least and thus leans to the inside of the jar towards the center of the circle. This is observable evidence that an object moving in circular motion at constant speed experiences an acceleration that is directed towards the center of the circle. Another simple homemade accelerometer involves a lit candle centered vertically in the middle of an open-air glass. If the glass is held level and at rest (such that there is no acceleration), then the candle flame extends in an upward direction. However, if you hold the glass-candle system with an outstretched arm and spin in a circle at a constant rate (such that the flame experiences an acceleration), then the candle flame will no longer extend vertically upwards. Instead the flame deflects from its upright position. This signifies that there is an acceleration when the flame moves in a circular path at constant speed. The deflection of the flame will be in the direction of the acceleration. This can be explained by asserting that the hot gases of the flame are less massive (on a per mL basis) and thus have less inertia than the cooler gases that surround it. Subsequently, the hotter and lighter gases of the flame experience the greater acceleration and will lean in the direction of the acceleration. A careful examination of the flame reveals that the flame will point towards the center of the circle, thus indicating that not only is there an acceleration; but that there is an inward acceleration. This is one more piece of observable evidence that indicates that objects moving in a circle at a constant speed experience an acceleration that is directed towards the center of the circle. So thus far, we have seen a geometric proof and two real-world demonstrations of this inward acceleration. At this point it becomes the decision of the student to believe or to not believe. Is it sensible that an object moving in a circle experiences an acceleration that is directed towards the center of the circle? Can you think of a logical reason to believe in say no acceleration or even an outward acceleration experienced by an object moving in uniform circular motion? In the next part of Lesson 1, additional logical evidence will be presented to support the notion of an inward force for an object moving in circular motion. We Would Like to Suggest ... Sometimes it isn't enough to just read about it. You have to interact with it! And that's exactly what you do when you use one of The Physics Classroom's Interactives. We would like to suggest that you combine the reading of this page with the use of our Uniform Circular Motion Interactive. You can find it in the Physics Interactives section of our website. The Uniform Circular Motion Interactive allows a learner to interactively explore the velocity, acceleration, and force vectors for an object moving in a circle.
Answers from these tutors
Asked in Physics 🚀
ASKED BY DANIELPHYSICS 🚀
What is the difference between intermolecular forces and bonds?
Intermolecular forces are the forces that hold two or more molecules together. A chemical bond is an attractive force between two or more atoms....
ASKED BY MAAHUMPHYSICS 🚀
Can you please explain the motor effect, generator effect and dynamos in physics?
The motor effect: Creating a force(movement) by passing a current through a conductor in a magnetic field The generator effect: Creating a current i...
ASKED BY HAJARPHYSICS 🚀
What energy store is decreasing while the candle is burning?
The fuel for burning is the wax which is constantly decreasing once it is turned into vapour it combines with the air oxygen to form the flame. ...
ASKED BY MYP.PHE EDIFYPHYSICS 🚀
A train travels 700 km in 35 secs. What will the speed be meters per second?
Average speed is 700000/35 = 20000 m/s Unrealistic as it is approx 58 times the speed of sound !!!
ASKED BY DAISYPHYSICS 🚀
What happens when an atom is ionised?
An atom becomes ionised when it becomes charged. This charge can be positive (+) or negative (-). What generally causes this is the gain or loss of ...
ASKED BY CARMENPHYSICS 🚀
Theory of relativity for startups - how does that work?
Special relativity: This is based on two assumptions. 1. Laws of physics are the same in all inertial frames. 2. Speed of light is the same for all ...
ASKED BY JAKEPHYSICS 🚀
How do you calculate theoretical deflections for an experiment on unsymmetrical bending of a cantilever beam & what are the units to be used for young's modulus, length, force and 2nd moment area of used for the equation used to calculate deflection?
All this depends on the cross section of the cantilever and how it is supported then you build the theoretical model. Units of Young’s Modulus are P...
ASKED BY JENNIEPHYSICS 🚀
I want to learn physics. Where should I start?
Have you had any lessons at all in school that you can work from? Learning is about taking time, (lots of time) and revisiting what you have been ta...
ASKED BY DEBBIEPHYSICS 🚀
How big is our galaxy?
The average radius of our galaxy, The Milky Way, is about 50,000 light years. To put that in perspective, if a commercial airliner, let’s say a Boei...
ASKED BY DEEPESHPHYSICS 🚀
What is chemical effect of electric current? Describe it briefly?
So electrical energy can be used to produce chemical reactions. The best example for this is electrolysis. When an electrical current flows through ...
Find me a tutor
We take your privacy seriously. View our policy.