The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
$(a)$ Displacement $=$ area under the graph
Area $=1 / 2 \times 5 \times 4+7 \times 4+1 / 2 \times 3 \times 4=44 m$
$(b)$ From $12$ to $15$ sec period.
$(c)$ Average velocity $=44 / 15=2.93 m s ^{-1}$
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A scooter starts from rest moves in a straight line with a constant acceleration and covers a distance of $64 \,m$ in $4 \,s$
$(i)$ Calculate its acceleration and its final velocity.
$(ii)$ At what time the scooter had covered half the total distance ?
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$(i)$ Calculate its acceleration and its final velocity.
$(ii)$ At what time the scooter had covered half the total distance ?
The driver of a train $A$ travelling at a speed of $54\, km h^{-1}$ applies brakes and retards the train uniformly The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km h ^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot speed time graph for both the trains on the same paper. Also, calculate the distance travelled by each train after the brakes were applied.
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Explain the following type of motion with one example of each
$(i)$ Acceleration is positive
$(ii)$ Acceleration is negative
$(iii)$ Acceleration is zero.
Explain the following type of motion with one example of each
$(i)$ Acceleration is positive
$(ii)$ Acceleration is negative
$(iii)$ Acceleration is zero.