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Help with mechanics question (CCEA M1)

NOTE- it is part [IV] that i am having problems with and it is worth 7 marks


A and B are two bus stops on a straight horizontal road.
A bus passes A travelling towards B at a constant velocity of 15 m s–1
The bus continues at this velocity for T seconds.
It then decelerates at a constant rate for the next 10 s until it comes to rest at B.
(i) Sketch a velocity–time graph for the motion of the bus. [2]
(ii) Find the deceleration of the bus. [2]
(iii) Find, in terms of T, the distance travelled by the bus. [3]

5 s after the bus passes A, a car leaves A and travels towards B.
The car moves from rest with a constant acceleration of 5/3 MS
The car and bus reach B at the same time.
(iv) Find the distance between A and B. [
(edited 9 years ago)
Original post by Mr.bob
NOTE- it is part [IV] that i am having problems with and it is worth 7 marks


A and B are two bus stops on a straight horizontal road.
A bus passes A travelling towards B at a constant velocity of 15 m s–1
The bus continues at this velocity for T seconds.
It then decelerates at a constant rate for the next 10 s until it comes to rest at B.
(i) Sketch a velocity–time graph for the motion of the bus. [2]
(ii) Find the deceleration of the bus. [2]
(iii) Find, in terms of T, the distance travelled by the bus. [3]

5 s after the bus passes A, a car leaves A and travels towards B.
The car moves from rest with a constant acceleration of 5/3 MS
The car and bus reach B at the same time.
(iv) Find the distance between A and B. [


Moved to Maths section :smile:
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ztibor
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Original post by Mr.bob
NOTE- it is part [IV] that i am having problems with and it is worth 7 marks


A and B are two bus stops on a straight horizontal road.
A bus passes A travelling towards B at a constant velocity of 15 m s–1
The bus continues at this velocity for T seconds.
It then decelerates at a constant rate for the next 10 s until it comes to rest at B.
(i) Sketch a velocity–time graph for the motion of the bus. [2]
(ii) Find the deceleration of the bus. [2]
(iii) Find, in terms of T, the distance travelled by the bus. [3]

5 s after the bus passes A, a car leaves A and travels towards B.
The car moves from rest with a constant acceleration of 5/3 MS
The car and bus reach B at the same time.
(iv) Find the distance between A and B. [


For the distance travelled by the car sAB=a2⋅t2s_{AB}=\frac{a}{2}\cdot t^2

For the car a2=56\frac{a}{2}= \frac{5}{6} and t=T+10t=T+10

Take this distance equal with the distance travelled by the bus (iii)
Solve the equation for T
Knowing T you can give the value of distance
Original post by Mr.bob
NOTE- it is part [IV] that i am having problems with and it is worth 7 marks


A and B are two bus stops on a straight horizontal road.
A bus passes A travelling towards B at a constant velocity of 15 m s–1
The bus continues at this velocity for T seconds.
It then decelerates at a constant rate for the next 10 s until it comes to rest at B.
(i) Sketch a velocity–time graph for the motion of the bus. [2]
(ii) Find the deceleration of the bus. [2]
(iii) Find, in terms of T, the distance travelled by the bus. [3]

5 s after the bus passes A, a car leaves A and travels towards B.
The car moves from rest with a constant acceleration of 5/3 MS
The car and bus reach B at the same time.
(iv) Find the distance between A and B. [


the car moves for T+10-5=T+5 secs, so find its distance moved in terms of T then equate to your previous answer frpom part (iii) to find T.
(edited 9 years ago)

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