State which of the following situations are possible and give an example of each of these
$(a)$ A body moving with constant acceleration but with zero velocity.
$(b)$ A body moving horizontally with an acceleration in vertical direction.
$(c)$ A body moving with a constant velocity in an accelerated motion.
$(a)$ Yes, at the highest point of a body thrown vertically upwards. At the highest point, the body's velocity is zero but it has an acreleration of $9.8 m s ^{-2}$ in the downward direction.
$(b)$ Yes, a projectile fired at an angle has a uniform velocity along the horizontal, but its motion along the vertical is uniformly accelerated.
$(c)$ Yes, when a body moves along a circular path with constant speed. In this situation, the speed is constant but due to change in direction the body possesses acceleration.
Draw velocity-time graphs for the following situations
$(i)$ When body is moving with uniform velocity.
$(ii)$ When body is moving with variable velocity, but uniform acceleration.
$(iii)$ When body is moving with variable velocity, but uniform retardation.
$(iv)$ When body is moving with a variable velocity and variable acceleration.
What is the numerical ratio of average velocity to average speed of an object when it is moving along a straight path ?
The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero ? Justify you answer.
$(a)$ Draw velocity-time graph for the following cases
$(i)$ When the object is at rest.
$(ii)$ When the object is thrown vertically upwards.
$(b)$ A motorcyclist riding motorcycle $A$ who is travelling at $36\, km h^{-1}$ applies the brakes and stops the motorcycle in $10\, s$. Another motorcyclist of motorcycle $B$ who is travelling at $18\, km h^{-1}$ applies the brakes and stops themotorcycle in $20\, s$. Plot speed-time graph for the two motorcycles. Which of the two motorcycles travelled farther before it come to a stop ?
Draw a diagram to show the motion of a body whose speed remains constant but velocity continuously changes.