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  • A car is moving with acceleration  , displacement So and velocity <img alt="V_0" src="https://entrancecorner.onc

A car is moving with acceleration A_0 , displacement So and velocity V_0. The acceleration is given as below-
A_0=\frac{D t}{4}. displacement s_0  is given by

Option: 1

D t^3 / 24


Option: 2

D t^2 / 12


Option: 3

D t^2 / 24


Option: 4

D t / 2


Answers (1)

best_answer

Acceleration is given 

A_0=\frac{D t}{4}-(1)
now
To find displacement use integral Two times equation (1)
A_0=\frac{\ Dt}{4} \\
 Velocity  \left(V_0\right)=\int A_0 d t=\int \frac{D t}{4} d t \\
=\frac{D}{4} \int t d t \\
=\frac{D}{4} \cdot \frac{t^2}{2}=\frac{D t^2}{8}
Displacement  \left(S_0\right) =\int v_0 d t \\
=\int \frac{D t^2}{8} d t=\frac{D}{8} \int t^2 d t \\
S_0 =\frac{D}{8} \cdot \frac{t^3}{3}=\frac{Dt^3}{24}
 

Posted by

Ritika Jonwal

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