Assertion :Displacement-time equation of two particles moving in a straight line are, $s_{1} = 2 t - 4 t^{2}$ and $s_{2} = 2 t + 4 t^{2} .$ Relative velocity between the two will go on increasing. Reason: If velocity and acceleration are of same sign then speed will increase.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Assertion is correct but Reason is incorrect

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Both Assertion is incorrect but Reason is correct

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Differentiate both to get $v_{1} = 2 - 8 t$ and $v_{2} = 2 + 8 t$
Thus relative velocity = $v_{2} - v_{1} = 16 t$
Relative acceleration = 16
Thus statement 1 and 2 are correct but statement 2 does not explain statement 1 correctly

Suggest Corrections

Similar questions

{2n}^{2}

H_{2}

H e

(1 + \frac{P b}{R T})

H_{2}

H e

Assertion: All the points (1, 0), (-1, 0), (2, 0) and (5, 0) lie on the x – axis.
Reason: Equation of the x-axis is y = 0

Choose the correct option.

y = A sin (k x - ω t)

x = 0

y -

x -

t = 0

t = 12

Join BYJU'S Learning Program