31. The distance traveled by a particle is given by \(s=3+2t+5t^{2}\). The initial velocity of the particle is
A. 2 unit
B. 3 unit
C. 10 unit
D. 5 unit
Answer : Option A
Explanation :
\(v=\frac{\mathrm{d} s}{\mathrm{d} t}=2+10t\)
32. A particle is thrown in upward direction with Velocity \(V_{0}\). It passes through a point p of height h at time \(t_{1}\) and \(t_{2}\) so \(t_{1}\) + \(t_{2}\) = ?
A. \(\frac{V_{0}}{g}\)
B. \(\frac{2V_{0}}{g}\)
C. \(\frac{2h}{g}\)
D. \(\frac{h}{g}\)
Answer : Option B
33. A particle is thrown in upward direction with initial Velocity \(V_{0}\). It passes through a point p of height h at time \(t_{1}\) and \(t_{2}\) so \(t_{1}t_{2}\) = ?
A. \(\frac{2h}{g}\)
B. \(\frac{V_{0}^{2}}{2g}\)
C. \(\frac{2V_{0}^{2}}{g}\)
D. \(\frac{h}{2g}\)
Answer : Option A
34. Ball A is thrown in upward from the top of a tower of height h. At the same time ball B starts to fall from that point. When A comes to the top of the tower, B reaches the ground. Find the time to reach maximum height for A.
A. \(\sqrt{\frac{h}{g}}\)
B. \(\sqrt{\frac{2h}{g}}\)
C. \(\sqrt{\frac{h}{2g}}\)
D. \(\sqrt{\frac{4h}{g}}\)
Answer : Option C
In the figure Velocity (v) \(\rightarrow \) position graph is given. Find the true equation.
A. \(v=\frac{v_{0}}{x_{0}}x-v_{0}\)
B. \(v=-\frac{v_{0}}{x_{0}}x+v_{0}\)
C. \(v=-\frac{v_{0}}{x_{0}}x-v_{0}\)
D. \(v=\frac{v_{0}}{x_{0}}x+v_{0}\)
Answer : Option D
In the figure there is a graph of \(a\rightarrow x\) for a moving particle. Hence \(\frac{\mathrm{d} a}{\mathrm{d} t}=\)____\(V\)
A. \(\frac{x_{0}}{a_{0}}\)
B. \(\frac{-x_{0}}{a_{0}}\)
C. \(\frac{-a_{0}}{x_{0}}\)
D. \(\frac{a_{0}}{x_{0}}\)
Answer : Option C
A particle is moving in a straight line with intial velocity of 10 m/s. A graph of acceleration \(\rightarrow \) time of the particle is given in the figure. Find velocity at t = 10 s.
A. 25 m/s
B. 35 m/s
C. 45 m/s
D. 15 m/s
Answer : Option C
Explanation :
Area covered by \(a\rightarrow t\) graph gives change in velocity..
A graph of moving body with constant acceleration is given in the figure. What is the velocity after time t ?
A. \(OA+\frac{DC}{BC}.OE\)
B. \(OA+\frac{DC}{BC}.DE\)
C. \(AB+\frac{BC}{DC}.OE\)
D. \(OA+\frac{DC}{BC}.AD\)
Answer : Option A
The graph given in the figure shows that the body is moving with ?
A. Increasing acceleration
B. Decreasing acceleration
C. Constant velocity
D. Increasing velocity
Answer : Option B
40. Slope of the velocity-time graph gives _________ of a moving body.