If acceleration depends on time such that a= 4-2t, where a and t are in SI units, then change in velocity during time interval t=0 s to t=2 s, is

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A particle starts moving rectilinearly at time t = 0 such that its velocity ‘v’ changes with time ‘t’ according to the equation $v = t^{2} - t$ where t is in seconds and v in m/s. Find the time interval for which the particle retards.

Q. For the velocity-time graph shown in figure, in a time interval from

t = 0

t = 6 s

, match the following

\begin{matrix} Table-1 & Table-2 (A) Change in velocity & (P) - \frac{5}{3} SI unit (B) Average acceleration & (Q) - 20 SI unit (C) Total displacement & (R) - 10 SI unit (D) Acceleration at t = 3 s & (S) - 5 SI unit \end{matrix}

Q. For the velocity-time graph shown in figure, in a time interval from

t = 0

t = 6 s

, match the following

\begin{matrix} Table-1 & Table-2 (A) Change in velocity & (P) - \frac{5}{3} SI unit (B) Average acceleration & (Q) - 20 SI unit (C) Total displacement & (R) - 10 SI unit (D) Acceleration at t = 3 s & (S) - 5 SI unit \end{matrix}

Q. The magnetic field

B = 2 t^{2} + 4 t^{2}

(where

t =

time) is applied perpendicular to the plane of a circular wire of radius

r

and resistance

R

. If all the units are in SI the electric charge that flows through the circular wire during

t = 0 s

t = 2 s

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