Does a particle moving in a straight line with constant speed have acceleration? There is a tendency to believe that if an object is moving at constant speed then it has
no acceleration
. This is indeed true in the case of an object moving along a straight line path. On the other hand, a particle moving on a curved path is accelerating whether the speed is changing or not.
Can a particle have acceleration with constant speed?
If speed is constant, particle may still have an acceleration
. e.g. in uniform circular motion, speed is constant but as the direction of motion changes continuously, velocity changes and there is acceleration.
What is the acceleration of a particle moving in a straight line?
The acceleration (a) of a particle moving in a straight line varies with its displacement (s) as `
a=2s+1
`. The velocity of the particle is zero at zero displacement.
Is acceleration constant in a straight line?
Does constant speed in a straight line mean no acceleration?
So,
a jet moving with a constant velocity at 800 miles per hour along a straight line has zero acceleration
, even though the jet is moving really fast, since the velocity isn’t changing.
Is it possible to have a particle with constant speed and non zero acceleration?
(c) True.
When a particle moves with a constant speed in the same direction, neither the magnitude nor the direction of velocity changes and so acceleration is zero
. In case a particle rebounds instantly with the same speed, its acceleration will be infinite which is physically not possible. (d) False.
How can a particle that is moving with a constant speed have an acceleration?
Even if the speed of the particle is constant, the particle has some acceleration just because
the direction of its velocity is continually changing
.
How do you find the acceleration of a particle?
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation
a = Δv/Δt
. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
What is the acceleration of the particle when t?
The acceleration of the particle when t = 4 is
2 m/s
2
.
How do you find the acceleration of a particle in calculus?
Is acceleration always constant?
Whenever there is a change in velocity, either due to a change in speed or a change in direction, there will be non-zero acceleration. Steve J.
Acceleration is not constant if the net force is not constant
.
Is constant acceleration 0?
So, although zero is a constant,
zero acceleration is zero acceleration, not constant acceleration
.
What is the acceleration of a car going in a straight line at a constant speed?
The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is
zero
. Average acceleration = (change in velocity)/(time it takes). Since the car’s change in velocity is zero, its acceleration is zero.
Can an object be moving but not accelerating?
Yes,
an object that was set in motion in the past by some force, but that is no longer being acted on by a net force, is moving but with zero acceleration
, i.e. it is moving at constant velocity.
Can an object moving at a constant speed have a nonzero acceleration?
Acceleration depends on the change in an object’s velocity.
An object moving at a constant speed can experience a nonzero acceleration if the direction of the object’s motion changes
.
Is it possible in straight line motion a particle having zero speed and a non zero velocity?
No, it is not possible to have zero speed with non zero velocity in a straight line
. If the speed of a body in a straight line is zero means the body is not moving So the rate of change of displacement is zero, that is the velocity of the body is zero.
Can an object have zero velocity and constant nonzero acceleration?
Yes. For example, a rock thrown straight up in the air has a constant, nonzero acceleration due to gravity for its entire flight. However, at the highest point it momentarily has a zero velocity.
A car, at the moment it starts moving from rest, has zero velocity and nonzero acceleration.
How do you know if acceleration is 0?
What is constant speed?
How do you find acceleration with speed?
How is the position of a particle moving along a straight line described by a number?
Answer and Explanation: The position of a particle moving along a straight line is described by a number
by treating it like a vector
.
How is the position of a particle moving along a straight?
The position of a particle moving along straight line is given by
x=2 + t – t
, the distance travelled by the particle in time interval 0 to 2 second is.
How do you find acceleration without distance?
What is velocity when acceleration is zero?
When acceleration is zero then velocity of object can be
zero or constant
. The body continues to move with its velocity throughout. For e.g if a train is at rest then acceleration is zero and velocity remains zero. But when train moves with uniform velocity then also acceleration is zero and velocity remains constant.
How do you find acceleration with speed and distance?
The constant acceleration equation is the one that is used in kinematics to find acceleration using velocity and distance. If we have an initial velocity, a final velocity, and a distance but don’t know the time interval, we can apply the constant acceleration equation
v
2
= v
0
2
+ 2a x
to get the acceleration.
What makes an acceleration constant?
What causes constant acceleration?
Constant acceleration refers to motion where the speed increases by the same amount each second. The most notable and important example is free fall. When an object is thrown or dropped, it experiences a constant acceleration
due to gravity
, which has a constant value of approximately 10 meters per second squared.
Which means motion with constant acceleration?
Motion with constant acceleration occurs in everyday life whenever an object is dropped:
the object moves downward with the constant acceleration
.
, under the influence of gravity
. Fig. 8 shows the graphs of displacement versus time and velocity versus time for a body moving with constant acceleration.
What is the acceleration of a car that travels in a straight line at a constant speed of 80 km h?
Can a particle have uniform speed but still be accelerating?
Does zero acceleration mean the object is at rest?
Finding the acceleration
Thus, even though the velocity of an object at rest must be zero,
acceleration can clearly be non-zero for objects at rest
. A particle that is thrown vertically upwards stops momentarily at the highest point of motion.
Can you have acceleration without velocity?
Can a particle have uniform speed but still be accelerating?
Yes. The velocity of particle in circular motion is variable or the circular motion is accelerated even through the speed of particle is uniform
. This is because even the particle is moving in a constant speed, its direction is continuously changing. Was this answer helpful?
Is it possible for a body to be accelerated if its speed is constant if yes then explain with proper example?
For example, a car going on a roundabout can have a constant speed but since it will have a constantly changing direction, it can have a varying velocity as velocity is a vector quantity and depends on the direction of the car. Hence,
a body can have a constant speed and still be accelerating
.
Can a particle be accelerated without increasing or decreasing its speed?
Solution :
Yes, an object in uniform circular motion is accelerating but its speed neither decreases not increases
.