Let us suppose that the displacement is given by, x = kt2 , where k is constant of proportionality.
Therefore, velocity of the body, v = dx/dt = d(kt2)/dt = 2kt
Since, velocity depends on time ,the body is not moving with uniform velocity....
Again, acceleration of the body, a = dv/dt = d(2kt)/dt = 2k
As the acceleration is independent of time , the body is moving with uniform acceleration..
The equations of motion involving uniform acceleration are: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, t is the time taken. s = ut + (1/2)at^2, where s is the displacement. v^2 = u^2 + 2as, where s is the displacement. These equations describe the relationships between initial velocity, final velocity, acceleration, displacement, and time during motion with uniform acceleration.
this my sound rather daft but this is a bit of a trick question, the speed is the same so straight away you would think the acceleration is constant right....???? Wrong the displacement of the object is changing (displacement is the distance being travelled with a direction, a vector quantity.) as the displacement is changing so is the velocity, as velocity is displacement/time. as the velocity is changing so is the acceleration because acceleration is then change in velocity divided by time.
The acceleration of a vehicle moving with uniform velocity is zero. This is because acceleration is the rate of change of velocity, and if the velocity is constant and not changing, then the acceleration is zero.
Uniform velocity is constant speed in a straight line, while variable velocity changes in speed or direction over time. Uniform velocity has no acceleration, whereas variable velocity may have acceleration due to changes in speed or direction.
When a body has uniform velocity, it is moving in a straight line at a constant speed. This means that the magnitude and direction of its velocity remain constant over time. uniform velocity implies no acceleration present in the motion of the body.
The equations of motion involving uniform acceleration are: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, t is the time taken. s = ut + (1/2)at^2, where s is the displacement. v^2 = u^2 + 2as, where s is the displacement. These equations describe the relationships between initial velocity, final velocity, acceleration, displacement, and time during motion with uniform acceleration.
this my sound rather daft but this is a bit of a trick question, the speed is the same so straight away you would think the acceleration is constant right....???? Wrong the displacement of the object is changing (displacement is the distance being travelled with a direction, a vector quantity.) as the displacement is changing so is the velocity, as velocity is displacement/time. as the velocity is changing so is the acceleration because acceleration is then change in velocity divided by time.
use a uniform acceleration equation, Δx = ½ (Vi + Vf) Δt where displacement = 1/2 (initial velocity + final velocity) time displacement = 1/2 (59 m/s + 78 m/s) * 12s displacement = 822 m
The acceleration of a vehicle moving with uniform velocity is zero. This is because acceleration is the rate of change of velocity, and if the velocity is constant and not changing, then the acceleration is zero.
Uniform acceleration graphs help visualize how an object's velocity changes over time. They show a constant rate of change in velocity, which can be used to calculate properties like displacement and time. Instantaneous velocity is the velocity of an object at a specific moment in time, representing the object's speed and direction at a given instant.
Uniform velocity is constant speed in a straight line, while variable velocity changes in speed or direction over time. Uniform velocity has no acceleration, whereas variable velocity may have acceleration due to changes in speed or direction.
When a body has uniform velocity, it is moving in a straight line at a constant speed. This means that the magnitude and direction of its velocity remain constant over time. uniform velocity implies no acceleration present in the motion of the body.
If a body is moving with a uniform velocity, its acceleration will be zero. Acceleration is the rate of change of velocity, so if the velocity is constant, there is no change in velocity over time and thus zero acceleration.
No, uniform angular velocity implies that an object is moving in a circle at a constant rate. Since acceleration is defined as any change in velocity (either speed or direction), if the angular velocity is constant, there is no acceleration present.
Uniform velocity means the velocity is not changing. Acceleration is defined as the rate of change of velocity. If velocity isn't changing, the rate of change is zero.
The acceleration of a body with uniform velocity is zero because acceleration is the rate of change of velocity. If the velocity is constant, then there is no change in velocity over time, so the acceleration is zero.
Find out the time using speed and acceleration, (time=speed/acceleration) and then use it to find out uniform velocity. From that find out uniform acceleration. (as uniform acceleration is equal changes of velocity over equal intervals of time)