Question
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by 
and 
respectively Then
- At
s the motor bike and car are 180m apart
- At s the motor bike and car are 720m apart
- The relative distance between motor bike and car reduces to zero at
s and both are 1080m far from origin
- The relative distance between motor bike and car always remains same
s the motor bike and car are 180m apart
s the motor bike and car are 720m apart
s and both are 1080m far from origin
The correct answer is: The relative distance between motor bike and car reduces to zero at s and both are 1080m far from origin
Distance travelled by motor bike at s
(18)(60)=540 m
Distance travelled by car at s
=(18)(60)=720 m
Therefore, separation between them at s is 180m. Let, separation between them decreases to zero at time 
beyond 18s.
Hence, 
and 
s beyond 18s or
Hence, 
s=27s from start and distant travelled by both is 
=
m
Related Questions to study
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
The area bounded by y=3x and 
is
So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by y=3x and is
So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by 
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
If 
then 
=
If then =
The 
graph shown in the figure represents
The graph shown in the figure represents
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
A particle starts from rest at 
and undergoes an acceleration 
in 
with time in second which is as shownWhich one of the following plot represents velocity 
in 
time in second?
A particle starts from rest at and undergoes an acceleration in with time in second which is as shownWhich one of the following plot represents velocity in time in second?
A body is at rest at 
. At , it starts moving in the positive 
-direction with a constant acceleration. At the same instant another body passes through moving in the positive -direction with a constant speed. The position of the first body is given by 
after time ‘’ and that of the second body by 
after the same time interval. Which of the following graphs correctly describes 
as a function of time ‘’
A body is at rest at . At , it starts moving in the positive -direction with a constant acceleration. At the same instant another body passes through moving in the positive -direction with a constant speed. The position of the first body is given by after time ‘’ and that of the second body by after the same time interval. Which of the following graphs correctly describes as a function of time ‘’
General solution of 
is
General solution of is
In the following graph, distance travelled by the body in metres is
In the following graph, distance travelled by the body in metres is
Velocity-time 
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
Velocity-time graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
The value of k such that 
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
The value of k such that lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
and the plane 
is (units)
where 
for 
in the interval 
is
