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Q. A rocket is launched at an angle of 52° above the horizontal with an initial speed of 103 m/s. The rocket moves for 3s along its initial line of motion with an acceleration of 32 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile.(a) Find out the maximum altitude reached by the rocket.
(b) Find out its total time of flight.
(c) Find out its horizontal range.
2.) A river flows due east at 1.5m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 14m/s due north relative to water.
(i) What is the velocity of the boat relative to shore?
(ii) If the river is 320 m wide, how far downstream has the boat moved by time it reaches the north shore?
3.) A hunter wishes to cross a river that is 1km wide and flows with a speed of 5km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 9 km/h with respect to the water. What is the minimum time required for crossing?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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