A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.
A cyclist travels a distance of $4\, km$ from $P$ to $Q$ and then moves a distance of $3\, km$ right angle to $PQ$. Find his resultant displacement graphically.
Graphically, it is as shown below
The resultant displacement is
$S=\sqrt{(4)^{2}+(3)^{2}}=5 km$
Similar Questions
An electron moving with a velocity of $5 \times 10^{4}\, ms ^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4}\, ms ^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time ?
An electron moving with a velocity of $5 \times 10^{4}\, ms ^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4}\, ms ^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time ?
A car starts from rest and moves along the $x-$ axis with constant acceleration $5\, ms^{-2}$ for $8\,\sec $. If it then continues with constant velocity, what distance will the car cover in $12\,\sec $ since it started from the rest ?
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A person travelling in a bus noted the timings and the corresponding distances as indicated on the km stones. (a) Name this type of table $(b)$ What conclusion do you draw from this data ?
Time
Distance
$8.00\, am$
$10\, km$
$8.15 \,am$
$20 \,km$
$8.30\, am$
$30\, km$
$8.45\, am$
$40\, km$
$9.00\, am$
$50\, km$
A person travelling in a bus noted the timings and the corresponding distances as indicated on the km stones. (a) Name this type of table $(b)$ What conclusion do you draw from this data ?
| Time | Distance |
| $8.00\, am$ | $10\, km$ |
| $8.15 \,am$ | $20 \,km$ |
| $8.30\, am$ | $30\, km$ |
| $8.45\, am$ | $40\, km$ |
| $9.00\, am$ | $50\, km$ |
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$(b)$ Find acceleration from $B$ to $C$.
$(c)$ Calculate the distance covered by the body from $A$ to $B$.
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$(a)$ What type of motion is represented by $OA$ ?
$(b)$ Find acceleration from $B$ to $C$.
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