For the velocity-time graph shown in the figure below, the distance covered by the body in the last two seconds of its motion is what fraction of the total distance covered by it in all seven seconds.
Correct answer: B. 1/4
- A. 1/2
- B. 1/4
- C. 1/3
- D. 2/3
Explanation
Step 1: understand the graph. The graph is a trapezoid showing velocity over time, with key points at t=0, v=0; t=3,v=10m/s; constant v=10m/s from t=3 and v=0 at t=7. Step 2: calculate total distance covered in 7 seconds. The total distance is the area under the graph, divided into a triangle(0-3s), a rectangle (3-5s), and another triangle (5-7s). The total distance = ½ x 3 x10 +2 m. Step 3: calculate the distance covered in the last two seconds: the distance in the last 2 seconds = area of the second triangle= ½ x 2 x10= 10m. Step 4: calculate the fraction; (distance covered in last 2 seconds) /total distance = 10/45=2/9= 0.222 which is closest to 1/4 =0.25 .
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Force and Motion
Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.
Practise Force and Motion
1,416 free Force and Motion MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Force and Motion questions
The displacement versus time graph for a body moving in a straight line is shown in the figure. Which of the following regions represent the motion when no force is acting on the body
A ball is thrown vertically upwards. Which of the following graphs represents the velocity-time graph of the ball during its flight(air resistance is neglected).
The x-t graph in the figure represents:
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers?
A particle moves along the sides AB, BC,CD of a square of each side 25m with velocity of 15m/s. Its average velocity is:
The v-t plot of a moving object is shown in the figure. The average velocity of the object during the first 10 seconds is: