The graph below describes the journey of a bus between two stops. a) Work out the
acceleration, in m/s2,
in the first 20 s.
b) Work out the distance
between the two stops.
c) Work out the average
speed of the bus during
the journey.
Give
your answer to 1 d. p.​

a) The acceleration in the first 20 seconds is 0.35 m/s²

b) The distance between the two stops is 945 m

c) The average velocity of the bus during the journey is approximately 5.9 m/s

Step-by-step explanation:

a) From the graph, we have;

The velocity of the bus at time t₁ = 0 s, v₀ = 0 m/s

The velocity of the bus at time t₂ = 20 s, v₂₀ = 7 m/s

The uniform acceleration, 'a', is given by the following equation;

a = dv/dt

Therefore, the acceleration in the first 20 seconds is given as follows;

a = (v₂₀ - v₀)/(t₂ - t₁) = (7 m/s - 0 m/s)/(20 s - 0 s) = 0.35 m/s²

The acceleration in the first 20 seconds, a = 0.35 m/s²

b) The two stops are at the start of the graph (0,0) and the point (160, 0), which is the distance traveled during the journey

Therefore, a way to find the distance between the two stops is by finding the area under the velocity time graph

Here the area consists of 2 triangles and one rectangle

The area of the triangle on the left, A₁ = 1/2 × 20 s × 7 m/s = 70 m

The area of the middle rectangle, A₂ =(130 s - 20 s) × 7 m/s = 770 m

The area of the triangle on the right, A₃ = 1/2 × (160 s - 130 s) × 7 m/s = 105 m

The area under the velocity time graph, A = A₁ + A₂ + A₃ = 70 m + 770 m + 105 m = 945 m

The distance between the two stops = The area under the velocity time graph = 945 m

c) The average velocity  of the bus during the journey, = (The distance between the two stops)/(The time taken to cover the distance)

∴ = (945 m)/(160 s) = 5.90625 m/s

The average velocity, ≈ 5.9 m/s (rounded to 1 decimal place (d. p.)

2.56 is the width of the garden

step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column