Give difference between average speed and average velocity.
Average Speed | Average Velocity |
$(1)$ The ratio of path length covered to time taken is called average speed. | $(1)$ The ratio of displacement covered to time taken is called average velocity. |
$(2)$ It is a scalar quantity | $(2)$ It is a vector quantity. |
$(3)$ It is always positive. | $(3)$ It may be positive, negative or zero. |
$(4)$ Average speed $\geq$ Average velocity | $(4)$ Average velocity $\leq$ Average speed |
A particle is constrained to move on a straight line path. It returns to the starting point after $10\, sec$. The total distance covered by the particle during this time is $30\, m$. Which of the following statements about the motion of the particle is false
''The magnitude of average velocity is equal to average speed''. This statement is not always correct and not always incorrect. Explain with example.
A person goes from point $P$ to point $Q$ covering $1 / 3$ of the distance with speed $10 \,km / h$, the next $1 / 3$ of the distance at $20 \,km / h$ and the last $1 / 3$ of the distance at $60 \,km / h$. The average speed of the person is ............ $km / h$
A train starting from rest first accelerates uniformly up to a speed of $80 \mathrm{~km} / \mathrm{h}$ for time $t$, then it moves with a constant speed for time 3t. The average speed of the train for this duration of journey will be (in $\mathrm{km} / \mathrm{h}$ ) :
A particle moving in a straight line covers half the distance with speed $6 \mathrm{~m} / \mathrm{s}$. The other half is covered in two equal time intervals with speeds 9 $\mathrm{m} / \mathrm{s}$ and $15 \mathrm{~m} / \mathrm{s}$ respectively. The average speed of the particle during the motion is :