Displacement - time curve of a particle moving along a straight line is shown. Tangents at $A$ and $B$ make angles $45^{\circ}$ and $135^{\circ}$ with positive x-axis respectively. The average acceleration of the particle during $t = 1, t = 2$ second is

Question

Displacement - time curve of a particle moving along a straight line is shown. Tangents at

A

and

B

make angles

45^{\circ}

and

135^{\circ}

with positive x-axis respectively. The average acceleration of the particle during

t = 1, t = 2

second is

Toppr Admin · Accepted Answer

The slope at any instant of time in x-x2212-1 graph gives velocityinitial velocity- u-tan45-1-t-1final velocity- v-tan135-x2212-1-t-2a-v-x2212-u-x394-t-x2212-1-x2212-11-x2212-2ms-x2212-2a-x2212-2ms-x2212-2-xA0-

Displacement - time curve of a particle moving along a straight line is shown. Tangents at A and B make angles 45∘ and 135∘ with positive x-axis respectively. The average acceleration of the particle during t=1,t=2 second is−2 m/s21 m/s2−1 m/s2Zero

The slope at any instant of time in x−1 graph gives velocityinitial velocity, u=tan45=1,t=1final velocity, v=tan135=−1,t=2a=v−uΔt=−1−11=−2ms−2a=−2ms−2

The slope at any instant of time in $x - 1$ graph gives velocity
initial velocity, $u = tan 45 = 1, t = 1$
final velocity, $v = tan 135 = - 1, t = 2$
$a = \frac{v - u}{Δ t} = \frac{- 1 - 1}{1} = - 2 m s^{- 2}$
$a = - 2 m s^{- 2}$