Home
Class 11
PHYSICS
A body travels along a straight line wit...

A body travels along a straight line with uniform acceleration ` a_(1)` for time `t_(1)` and with uniform acceleration `a_(2)` for time `t_(2)` for time `t_(2)`. What is the average acceleration?

Text Solution

Verified by Experts

Refer to Fig. 2 (b) . 21 , motion from` A to B` is in time ` t_(1)` and from e` B to C` in time `t_(2)`.
.
As change in velocity= accleration
` x time interval`
so,` v_(1) -u =a_(1) t_(1)`
and ` v_(2) -v_(1) =a_(2) t_(2)`
Adding the above equations, we get
`v_(2) -u=a_(1_ t__(1) + a_(2) t_(2)` ..(i)
If ` a_(ac)` is the average acceleration for the motion from ` A to C`, then `
v_(2) -u =q_(av) (t_(1) + t_(2)) `
From (i) and (ii),
` a_(av) (t_(1) + t_(2) =a _(1) t_(1) + a_(2) t_(2)`
:. `a _(av) =(a_(1) t_(1) + a_(2) t_(2))/(t_(1) +t_(2))`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 3 Con ceptual Problems|27 Videos

  • KINEMATICS

    PRADEEP|Exercise 4 Conceptual Problems|1 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 Con ceptual Problems|14 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A body starts form rest and moves along a straight line path with uniform acceleration. The atio of velocities at 1= s and t= 2s is __________

A train takes t seconds to perform a journey. It travels for t//n seconds with uniform acceleration, then for time (n-3) t//n with uniform speed v and finally for 2t//n seconds with uniform retardation. Then the average speed is ..........

Knowledge Check

  • A body starts from rest and moves along a straight line path with uniform acceleration. The ratio of velocities at t = 1s and t = 2 s is ______.

    A
    `2:1`
    B
    `1:2`
    C
    `1:sqrt(2)`
    D
    `sqrt(2):1`

  • A particle move with velocity v_(1) for time t_(1) and v_(2) for time t_(2) along a straight line. The magntidue of its average acceleration is

    A
    `(v_(2)-v_(1))/(t_(1)-t_(2))`
    B
    `(v_(2)-v_(1))/(t_(1)+t_(2))`
    C
    `(v_(2)-t_(1))/(t_(2)-t_(1))`
    D
    `(v_(1)+v_(2))/(t_(1)-t_(2))`

  • Velocity of a body moving a straight line with uniform acceleration (a) reduces by (3)/(4) of its initial velocity in time t_(0) . The total time of motion of the body till its velocity becomes zero is

    A
    `(4)/(3)t_(0)`
    B
    `(3)/(2)t_(0)`
    C
    `()/(3)t_(0)`
    D
    `(8)/(3)t_(0)`

    • Similar Questions

    Explore conceptually related problems

    a. If the velocity of a body is zero, does it mean that its acceleration is also zero ? (Yes//No) b. If the acceleration of a body is zero does it mean that its velocity is also zero ? (Yes//No) c. If a body travels with uniform acceleration a_(1) for a time t_(2) thenthe average acceleration is given by a_(av) =(a_(1)t_(1)+a_(2)t_(2))/(t_(1)+t_(2) (Yes//No) d. If a body starts from rest and moves with uniform acceleration the displacemects of the body is 1 s , 2 s, 3 s , etc., are in the ration of (1: 4: 9), etc. (True//False) e. For a body moving whith uniform acceleration, the displacent of the bosy in successive seconds is in the ration of 1: 3: 5: 7 .........................(True//False) .

    A body starts from rest & moves with constant acceleration a_1 for time t_1 then it retards uniformly with a_2 , in time t_2 and finally comes at rest. Find (t_1)/(t_2)

    A car starts from rest and moves with uniform acceleration for time t then it moves with uniform speed of 60 km/h for time 3t and comes to rest. Find the average speed of car in its total journey.

    A particle moves in a straight line with uniform acceleration and its distances from an origin O on the line (not necessarily the position at time t = 0) at times t_(1), t_(2),t_(3) are d_(1), d_(2),d_(3) respectively. Prove that if t_(1), t_(2), t_(3) form an A.P. whose common difference isd and d_(1),d_(2),d_(3) are in G.P. then the acceleration is (sqrt(d_(1))-sqrt(d_(3)))^(2)/(d^(2))

    A body is moving with variable acceleartion (a) along a straight line. The average acceleration of body in time interval t_(1)" to "t_(2) is :-

    Home
    Profile