Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds.
$\left(u+5 a\right)\, m$
$\left(u+\frac{3}{2} a\right)\, m$
$\left(u+\frac{9}{2} a\right)\, m$
$\left(u+4a\right)\, m$
A cyclist driving at $5\, m s ^{-1}$ picks a velocity of $10\, m s ^{-1}$ over a distance of $50\, m$. Calculate $(i)$ acceleration $(ii)$ time in which the cyclist picks up the above velocity.
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.
What can you say about the motion of an object whose distance time graph is
$(i)$ a straight line, parallel to the time axis ?
$(ii)$ a straight line passing through the origin making an angle with the time axis ?
A body can have zero average velocity but not zero average speed. Justify.
The following table show os the positon of three persons between $8.00\, am$ to $8.20\, am$.
Time | Position (in $km$) | ||
Person $A$ | Person $B$ | Person $C$ | |
$8.00 \,am$ | $0$ | $0$ | $0$ |
$8.05 \,am$ | $4$ | $5$ | $10$ |
$8.10\, am$ | $13$ | $10$ | $19$ |
$8.15 \,am$ | $20$ | $15$ | $24$ |
$8.20\, am$ | $25$ | $20$ | $27$ |
$(i)$ Who is moving with constant speed ?
$(ii)$ Who has travelled maximum distance between $8.00\, am$ to $8.05\, am$ ?
$(iii)$ Calculate the average speed of person $'A^{\prime}$ in $k m h^{-1}$