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.
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.
Given $u_{ A }=54 km h ^{-1}=54 \times 5 / 18=15 m s ^{-1}$
$t_{ A }=5 s , v_{ A }=0$
$u_{ B }=36 km h ^{-1}=36 \times 5 / 18=10 m s ^{-1}, t_{ B }=5 s$
$v_{ B }=0$
The two motions are shown graphically as below
Distance travelled by $A =$ Area under $AB$ graph $=1 / 2 \times 5 \times 15=37.5 m$
Distance travelled by $B =$ Area under $CD$ graph $=1 / 2 \times 10 \times 10=50 m$
Similar Questions
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\, ms^{-1}$. It implies that the boy is
Suppose a boy is enjoying a ride on a merry-go-round which is moving with a constant speed of $10\, ms^{-1}$. It implies that the boy is
What is the difference between uniform motion in a straight line and circular motion ?
What is the difference between uniform motion in a straight line and circular motion ?
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 |
| $8.00\, am$ | $10\, km$ |
| $8.15 \,am$ | $20 \,km$ |
| $8.30\, am$ | $30\, km$ |
| $8.45\, am$ | $40\, km$ |
| $9.00\, am$ | $50\, km$ |
"The direction in which an object moves is given by the direction of velocity of the object and not by the direction of acceleration". Give an example to justify this statement
"The direction in which an object moves is given by the direction of velocity of the object and not by the direction of acceleration". Give an example to justify this statement
A cyclist driving at $36\, km h^{-1}$ stops his cycle in $2\, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.
A cyclist driving at $36\, km h^{-1}$ stops his cycle in $2\, s$ by the application of brakes. Calculate $(i)$ retardation $(ii)$ distance covered during the application of brakes.