Quadratic equations - August Crash Course Live Session Contact Number: 9667591930 / 8527521718

Page:

1.

The position of a particle moving along the x-axis is given by $\mathrm{x}=\frac{{\mathrm{t}}^{3}}{3}-2{\mathrm{t}}^{2}+3\mathrm{t}+25.$ The time (s) when particle comes to an instantaneous stop is/are

1. t = 1 sec

2. t = 2 sec

3. t = 5 sec

4. t = 4 sec

2.

A gun is mounted on a plateau 960 m away from its edge as shown. Height of plateau is 960 m. The gun can fire shells with a velocity of 100 m/s at any angle. Of the following choices, what is the minimum distance (OP)x from the edge of plateau where the shell of gun can reach?

1. 480 m

2. 720 m

3. 360 m

4. None of these

3.

Two particles, one with constant velocity 50 m/s and the other with a uniform acceleration 10 m/s^{2}, start moving simultaneously from the same place in the same direction. They will be at a distance of 125 m from each other after:

1. 5 sec

2. $5\sqrt{2}\mathrm{sec}$

3. 10 sec

4. $10\left(\sqrt{2}+1\right)\mathrm{sec}$

4.

The sum of the magnitude of two force acting at a point is 16 N. The resultant of these forces is perpendicular to the smaller force and has a magnitude of 8 N. If the smaller force is of magnitude x, then the value of x is:

1. 2 N

2. 4 N

3. 6 N

4. 8 N

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