For the same journey (uniform deceleration from 40 to 25 ms^-1 over the first 30 s, then constant 25 ms^-1 for the next 500 m), which statement correctly describes the shape of the displacement-time (t,x) graph?

A curve that is concave down (decreasing gradient) for 0≤ t≤30, followed by a straight line of constant gradient 25 for t>30.

Danho

Practise online Get the app

A Level Mechanics

Kinematics Questions and Answers

6 free questions here · 38 in the Danho app

Test yourself on this topic

Questions on this topic only, marked as you go. This is the same experience as the app.

Question 1 of 6Kinematics, displacement-time graphs

The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line. Its first straight section runs from $(0,\ -4)$ to the corner at $(2,\ 2)$ , and A is the point where the graph first crosses the t-axis. Find the coordinates of the point A.

Questions on this topic

Paper 4 (9164, Section B)Kinematics, displacement-time graphs
The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line. Its first straight section runs from $(0,\ -4)$ to the corner at $(2,\ 2)$ , and A is the point where the graph first crosses the t-axis. Find the coordinates of the point A.
Paper 4 (9164, Section B)Kinematics, displacement-time graphs
The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line, where x metres is the displacement of the particle from a fixed origin. Write down the final displacement of the particle, in metres.
Paper 4 (9164, Section B)Kinematics, displacement-time graphs
The $(t,\ x)$ graph for a particle moving along a straight line starts at $x=-4$ m when $t=0$ and finishes at $x=-2$ m when $t=7$ s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms $^{-1}$ .
Paper 4 (9164, Section B)kinematics
A car travels at 40 ms $^{-1}$ and decelerates uniformly to 25 ms $^{-1}$ over 30 seconds, then continues at the constant speed of 25 ms $^{-1}$ for a further distance of 500 m. Find the total distance travelled by the car.
Paper 4 (9164, Section B)kinematics
For the same journey (uniform deceleration from 40 to 25 ms $^{-1}$ over the first 30 s, then constant 25 ms $^{-1}$ for the next 500 m), which statement correctly describes the shape of the displacement-time $(t,x)$ graph?
Paper 4 (9164, Section B)Kinematics and velocity-time graphs
A car passes a fixed point A at 10 ms $^{-1}$ and holds that velocity for $t_{1}$ seconds. It then accelerates uniformly over the next $t_{2}$ seconds until it reaches 15 ms $^{-1}$ .

Practise this topic in the app

Danho has every question on this topic, not just the sample above, with your progress tracked question by question, offline.

Get it on Google Play Download on the App Store

Kinematics Questions and Answers

Test yourself on this topic

The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line. Its first straight section runs from $(0,\ -4)$ to the corner at $(2,\ 2)$ , and A is the point where the graph first crosses the t-axis. Find the coordinates of the point A.

The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line, where x metres is the displacement of the particle from a fixed origin. Write down the final displacement of the particle, in metres.

The $(t,\ x)$ graph for a particle moving along a straight line starts at $x=-4$ m when $t=0$ and finishes at $x=-2$ m when $t=7$ s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms $^{-1}$ .

A car travels at 40 ms $^{-1}$ and decelerates uniformly to 25 ms $^{-1}$ over 30 seconds, then continues at the constant speed of 25 ms $^{-1}$ for a further distance of 500 m. Find the total distance travelled by the car.

For the same journey (uniform deceleration from 40 to 25 ms $^{-1}$ over the first 30 s, then constant 25 ms $^{-1}$ for the next 500 m), which statement correctly describes the shape of the displacement-time $(t,x)$ graph?

A car passes a fixed point A at 10 ms $^{-1}$ and holds that velocity for $t_{1}$ seconds. It then accelerates uniformly over the next $t_{2}$ seconds until it reaches 15 ms $^{-1}$ .
Write down an expression for the magnitude of the car's acceleration during that stage, in terms of $t_{2}$ .

Questions on this topic

More topics in this subject

Practise this topic in the app

Kinematics Questions and Answers

Test yourself on this topic

The diagram shows the (t, x)(t,\ x)(t, x) graph for a particle which moves along a straight line. Its first straight section runs from (0, −4)(0,\ -4)(0, −4) to the corner at (2, 2)(2,\ 2)(2, 2), and A is the point where the graph first crosses the t-axis. Find the coordinates of the point A.

The diagram shows the (t, x)(t,\ x)(t, x) graph for a particle which moves along a straight line, where x metres is the displacement of the particle from a fixed origin. Write down the final displacement of the particle, in metres.

The (t, x)(t,\ x)(t, x) graph for a particle moving along a straight line starts at x=−4x=-4x=−4 m when t=0t=0t=0 and finishes at x=−2x=-2x=−2 m when t=7t=7t=7 s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms−1^{-1}−1.

A car travels at 40 ms−1^{-1}−1 and decelerates uniformly to 25 ms−1^{-1}−1 over 30 seconds, then continues at the constant speed of 25 ms−1^{-1}−1 for a further distance of 500 m. Find the total distance travelled by the car.

For the same journey (uniform deceleration from 40 to 25 ms−1^{-1}−1 over the first 30 s, then constant 25 ms−1^{-1}−1 for the next 500 m), which statement correctly describes the shape of the displacement-time (t,x)(t,x)(t,x) graph?

Questions on this topic

More topics in this subject

Practise this topic in the app

The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line. Its first straight section runs from $(0,\ -4)$ to the corner at $(2,\ 2)$ , and A is the point where the graph first crosses the t-axis. Find the coordinates of the point A.

The diagram shows the $(t,\ x)$ graph for a particle which moves along a straight line, where x metres is the displacement of the particle from a fixed origin. Write down the final displacement of the particle, in metres.

The $(t,\ x)$ graph for a particle moving along a straight line starts at $x=-4$ m when $t=0$ and finishes at $x=-2$ m when $t=7$ s, where x metres is the displacement from a fixed origin. Find the average velocity of the particle, in ms $^{-1}$ .

A car travels at 40 ms $^{-1}$ and decelerates uniformly to 25 ms $^{-1}$ over 30 seconds, then continues at the constant speed of 25 ms $^{-1}$ for a further distance of 500 m. Find the total distance travelled by the car.

For the same journey (uniform deceleration from 40 to 25 ms $^{-1}$ over the first 30 s, then constant 25 ms $^{-1}$ for the next 500 m), which statement correctly describes the shape of the displacement-time $(t,x)$ graph?