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3 days ago · Since, the velocity of the cyclist is constant with time, the rate of change of velocity with time is zero. So, the acceleration of the object will be zero. (ii) in the graph, we observe that the cyclist is moving with the same velocity all the time. According to the graph, the velocity of the cyclist is $20m{{s}^{-1}}$ .
4 days ago · Time average velocity = \[\dfrac{\int{vdt}}{\int{dt}}\] Complete step-by-step answer: When velocity is averaged over a time interval then it is known as time average velocity when average to the average of elected over space period then it is known as space average velocity. Here, it is given that particles' initial velocity is zero.
2 days ago · Hence, if force (F), velocity (V) and time (T) are taken as fundamental units, the dimensions of mass are $[F{V}^{-1}T]$. So, the correct answer is “Option D”. Note: There is an alternate method to solve this problem which takes much longer time to be solved as compared to the above solution.
5 days ago · Looking at all the three examples, we can conclude that a body can have zero velocity and non-zero acceleration. There can be several other examples to be considered, such a weight attached to a spring which has acceleration due to gravity, but velocity is zero when it is at its maximum stretch. Another example is that of a pendulum that is ...
3 days ago · When you are applying the brake, the acceleration is directed opposite to the motion of the car and hence the car slows down. Therefore, when motion and acceleration are in opposite directions then the body slows down, that is, the velocity decreases. From the definition of acceleration we know that it is the time rate of change of velocity.
5 days ago · Note: In mechanics the acceleration is defined as the rate of change of the velocity with respect to time. Whereas velocity is defined as the rate of change of position with respect to the frame of reference and it is also a function of time. Both acceleration and velocity is a vector quantity which has both magnitude and direction.
3 days ago · Therefore, the velocity of the body is $\dfrac{s}{t}$ and this will be a constant value. Hence, we get that the velocity of a body moving with uniform velocity is constant with time. When the velocity of the body is not constant with respect to time, its velocity is called variable velocity.
