Advertisements
Advertisements
Question
The velocity-time graph of a moving body is given below in Figure

The acceleration in parts AB, BC and CD.
Advertisements
Solution
Acceleration in the part AB = Slope of AB
= tan (∠BAD)
= (30/4) ms-2
= 7.5 ms-2
Acceleration in the part BC = 0 ms-2
Acceleration in the part CD = slope of CD = -tan (∠CDA)
= -(30/2) ms-2
= -15 ms-2
APPEARS IN
RELATED QUESTIONS
In addition to speed, what else should we know to predict the position of a moving body ?
A motorcyclist drives from place A to B with a uniform speed of 30 km h-1 and returns from place B to A with a uniform speed of 20 km h-1. Find his average speed.
A car is moving along a straight road at a steady speed. It travels 150 m in 5 seconds:
How far does it travel in 1 second ?
The tip of seconds’ hand of a dock takes 60 seconds to move once on the circular dial of the clock. If the radius of the dial of the clock be 10.5 cm, calculate the speed of the tip of the seconds’ hand of the clock. `("Given" π= 22/7)`.
A car is moving on a straight road with uniform acceleration. The speed of the car varies with time as follows :
Time (s) : 0 2 4 6 8 10
Speed (m/s) : 4 8 12 16 20 24
Draw the speed-time graph by choosing a convenient scale. From this graph :

(1) Calculate the acceleration of the car.
(2) Calculate the distance travelled by the car in 10 seconds.
A car accelerates at a rate of 5 m s-2. Find the increase in its velocity in 2 s.
A car is moving in a straight line with speed 18 km h-1. It is stopped in 5 s by applying the brakes. Find:
- the speed of car in m s-1
- the retardation and
- the speed of car after 2 s of applying the brakes.
Draw the shape of the velocity-time graph for a body moving with (a) Uniform velocity and (b) Uniform acceleration.
Figure shows the displacement of a body at different times .

Calculate the average velocity during the time interval 5 s to 9 s ,
[Hint : From 5 s to 9 s , displacement = 7 m - 3m = 4m]
A train is moving with a velocity of 90 km h-1 . It is brought to stop by applying the brakes which produce a retardation of 0.5 ms-2 Find :
(i) The velocity after 10 s , and
(ii) the time taken by the train to come to rest .
