3rd Equation of Motion

Q. A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

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Q.

A charged body is kept in an electric field where it experiences a constant acceleration of 10 m/$s^2$ in the positive x-direction. The body hits wall after travelling 4 m and rebounds but can travel only upto 2 m before coming to rest momentarily . If the body was in contact with the wall for 12 ms then find the average acceleration of it due to the impact?

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Q. A car moving with a speed of 50 km/h can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is:
(AIEEE 2003)

1. 12 m
2. 18 m
3. 24 m
4. 6 m

Q. A bullet fired into a fixed target loses half of its velocity after penetrating$3cm$. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

1. 1.5 cm
2. 3.0 cm
3. 2.0 cm
4. 1.0 cm

Q.

A bullet moving with a velocity of 200 cm/s penetrates a wooden block and comes to rest after traversing 4 cm inside it. What velocity is needed for travelling distance of 9 cm in same block?

1. 136.2 cm/s

2. 300 cm/s

3. 100 cm/s

4. 250 cm/s

Q. If the velocity of a particle is given by $v=(180-16x{)}^{\frac{1}{2}}m/s$ then its acceleration will be

1. Zero
2. 8 m/s²
3. – 8 m/s²
4. 4 m/s²

Q.

A train is travelling at the speed of 180 km/hr. In order to trap superman Lex Luthor has broken the tracks. Unware of Luthor's evil intensions, superman tries to stop the train by pushing it in opposite direction.Right at the moment when the train is 300 m away from the crack in the track, Superman is applying a deceleration of 5 m/$s^2$. Just after 2 sec a bullet laced with kryptonite hits superman which incapacitates him for a while. How long has super man got to remove the bullet and start to give deceleration so to protect the innocents? (Trains brake system has failed)

1. 2s

2. 1.25s

3. 0s

4. 1s

Q. A car, starting from rest, accelerates at the rate f through a distance S, then continuous at constant speed for time t and then decelerates at the rate $\frac{f}{2}$ to come to rest. If the total distance traversed is 15 s, then

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Q. An alpha particle enters a hollow tube of 4 m length with an initial speed of $1\frac{km}{s}$. It is accelerated in the tube and comes out of it with a speed of $9\frac{km}{s}$. The time for which it remains inside the tube is

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Q.

of the 5 values will be required to infer the remaining.

1. 2
2. 3
3. 4
4. 5