All Exams Test series for 1 year @ ₹349 only
Question

The area under a velocity–time graph for uniform acceleration is in the shape of a _________.

The correct answer is

Trapezium or triangle.

For uniform acceleration, the velocity–time graph is a straight sloping line, v = u + at.

If the body starts from rest (u = 0), the area under the line from t = 0 to t is a triangle.

If the body has an initial velocity (u ≠ 0), the area under the line is a trapezium, with parallel sides u and v; its area \(\frac{1}{2}(u + v)t\) gives the displacement.

A rectangle alone appears only for uniform velocity (zero acceleration), and a circle never arises from a straight-line graph.

Hence, the answer is Trapezium or triangle.

Was this answer helpful?

Similar Questions

  1. A speed - time graph for a car shows a straight line rising from 0 m/s at 0 s to 20 m/s at 5 s, then staying constant at 20 m/s until 10 s, and finally dropping to 0 m/s at 15 s. What is the total distance travelled by the car?

  2. In a distance-time graph, two vehicles are represented by two lines: one is a straight line inclined to the time axis, and the other is a curved line with increasing steepness. What does this suggest about the motion of the two vehicles?

  3. A train moves 60 km at 30 km/h, halts for 1h, and then covers 90 km at 45 km/h. What is the average speed over the entire journey?

  4. If two objects have velocity-time graphs that are both straight lines parallel to the time axis but at different heights, what does this indicate about the two objects?

  5. In a distance-time graph, if the curve is NOT a straight line, then it represents _______.

  6. A bus moves with a constant speed, represented by a straight line on a distance-time graph that rises from 0 m at 0 s to 90 m at 15 s. What is the speed of the bus?

  7. A train moves with a constant acceleration and its velocity-time graph is a straight line. If the graph passes through the points (0 s, 5 m/s) and (8 s, 21 m/s), what is the total displacement of the train in 8 seconds?

  8. What does the slope of a velocity-time graph for a body moving with uniform acceleration represent?

  9. In all three equations of motion, the acceleration is assumed to be ________.

  10. A train starts from rest and attains a velocity of 40 m/s in 10 s with uniform acceleration. What distance does it cover in this time?


Important Questions from Motion

  1. An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?

  2. If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:

  3. Vehicles have treaded tires so that it_______.

  4. What is the formula for momentum?

  5. Momentum of a given body is doubled. Its kinetic energy becomes (mass not changed)

Need Expert Advice?
Upcoming Exams
RRB JE
October 27, 2026
RRB ALP
November 03, 2026
Test Series
RRB Technicians img
Railways
RRB Technician Grade 1 (Signal) 2026 Mock Test Series
270 Tests 3 Tests Free
7598 Attempts
4.8(211)
English, Hindi, Bengali +7 More
More Questions from RRB Technicians

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App