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Motion Test - 24

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Motion Test - 24
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  • Question 1
    1 / -0
    In the equation of motion, $$s = ut + \dfrac 12 at^2$$, $$s$$ stands for
    Solution
    In the second equation of motion $$ s=ut+\dfrac { 1 }{ 2 } a{ t }^{ 2 }$$

    $$s =$$ displacement in $$t$$ seconds
    $$u =$$ Initial velocity of the motion 
    $$a =$$ acceleration or retardation of the motion

    Hence, option A is correct 
  • Question 2
    1 / -0
    Area under a speed-time graph gives :
    Solution
    The area under the velocity-time graph gives the distance traveled by a moving object during that time interval.
    While the area under the velocity-time graph gives displacement of the particle.
  • Question 3
    1 / -0
    The ratio of SI units to CGS units of retardation is
    Solution
    SI unit of retardation is  $$ms^{-2}$$ and CGS unit is  $$cms^{-2}$$.
    Also, we know that   $$1 \ m = 100 \ cm$$
    Thus ratio,
    $$ratio = \dfrac{ms^{-2}}{cms^{-2}}$$
    $$\Rightarrow ratio = \dfrac{100\  cm\ s^{-2}}{cm\ s^{-2}}$$
    $$\Rightarrow ratio = 10^2$$
  • Question 4
    1 / -0
    The SI  unit of retardation is _____.
    Solution
    Si unit of retardation is same as that of acceleration as  $$m/s^2$$.
  • Question 5
    1 / -0
    What is the velocity of vertically projected body at its maximum height (h)?
    Solution
    When particle is at maximum height it's Potential energy = $$mgh$$
    also maximum .
    But when it was at ground it's Potential energy =$$0$$
    It means all of it's Kinetic energy at ground was converted into Potential energy at top most point so Kinetic energy at top point=$$0$$
    $$\frac{mv^2}{2}=0$$
    so$$v=0$$
    Hence velocity at maximum height=
    $$0$$
  • Question 6
    1 / -0
    When the distance an object travels is directly proportional to the time, it is said to travel with 
    Solution
    When the distance an object travels is directly proportional to time, it is said to travel with Constant Speed. 

    $$ Speed = \dfrac{distance \ travelled}{time}$$
  • Question 7
    1 / -0
    In Figure as shown above BC represents a body moving:

    Solution
    Velocity of an object from displacement-time graph is given by its slope.
    ie  $$\dfrac{dy}{dt}=V$$ so slope from B to C is constant and negative so body is moving backward and with a constant velocity.
    so best possible option is option A.
  • Question 8
    1 / -0
    Retardation means
    Solution
    If the velocity of a moving object is decreasing with respect to time then you can say that body is in retardation or deacceleration or negative acceleration.
    In other words; Retardation is a negative rate of change of velocity.
  • Question 9
    1 / -0
    If a body undergoes retardation, its velocity
    Solution
    Retardation means negative acceleration. It is rate of decrease of velocity with time.
    So, if a body undergoes retardation, its velocity decreases.
  • Question 10
    1 / -0
    A body executing non-uniform motion:
    Solution
    If a body undergoes non-uniform motion, its speed changes and a body with changing speed undergoes acceleration.
    This acceleration may or may not be constant.
    Acceleration of the particle is given as-
    $$\text{acceleration} = \dfrac{ \text{ change in velocity } }{ \text{ time } }$$
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