1st Equation of Motion

Q. particle starting from rest, moves in a circle of radius r. It attains a velocity of V0m/s in the nth round. Its angular acceleration will be :-

Q. the displacement of a body is given by s=1/2(gt^2) , where g is acceleration due to gravity. The velocity of the body at any time t is Options: a) gt^3/6 b) gt^2/2 c) gt d) gt/2

Q. Obtain equations of motion for constant acceleration using method of calculus.

Q. A person moves towards east for 3 m then towards north for 4mand then moves vertically up by 5 metre what is the distance now from the starting point

Q.

A block of mass M is placed on the top of a bigger block of mass 10 M as shown in figure.All the surfaces are frictionless. The system is released from rest. Find the distance moved by the bigger block at the instant the smaller block reaches the fround.

1. 0.2m

2. 0.1m

3. 0.3m

4. 0.4m

Q.

A small sphere of mass m is dropped from a great height. After it has fallen 100 m, it has attained its terminal velocity and continues to fall at that speed. The work done by air friction against the sphere during the first 100 m of fall is

1. Greater than the work done by air friction in the second 100 m

2. Less than the work done by air friction in the second 100 m

3. Equal to 100 mg

4. Greater than 100 mg

Q. A ball is thrown vertically upwards from groundwhen it is at th of its maximum height its speed7.3is 20 m/s. The speed of throw is(2) 25 m/s(1) 15 m/s(3) 35 m/s(4) 40 m/s

Q. From the top of 490 m cliff a boy throws a stone horizontally with an intial speed of 15ms-1.what is time taken by the object to reach the ground??

Q. A boy riding a bicycle with a speed of 4m/s towards east direction , observes rain falling vertically downward. If he increases his speed to 8m/s, rain appears to meet him at 45^0 to the vertical . The speed of rain with respect to ground is (1) 8 m/s (2) 4 m/s (3) 4\sqrt2 m/s (4) 2 m/

Q.

A body under the action of several forces will have zero acceleration

1. When the body is very light

2. When the body is very heavy

3. When the vector sum of all the forces acting on it is zero

4. When the body is a point body

Q. Two balls are thrown vertically upward, with the same initial velocity of $98{\text{m s}}^{-1}$. The second ball is thrown $4\text{s}$ after the first one. How long, after the first one is thrown, will they meet? $(g=9.8{\text{ms}}^2)$

1. $t=22\text{s}$
2. $t=8\text{s}$
3. $t=12\text{s}$
4. $t=16\text{s}$

Q. A uniform rod of mass m and length l is hinged at upper end. Rod is free to rotate in vertical plane. A ball of mass m moving horizontally with velocity v0 collides at lower end of rod perpendicular to it and sticks to it. The minimum velocity of the ball such that combined system just completes the vertical circle will beA uniform rod of mass m and length l is hinged at upper end. Rod is free to rotate in vertical plane. A ball of mass m moving horizontally with velocity v0 collides at lower end of rod perpendicular to it and sticks to it. The minimum velocity of the ball such that combined system just completes the vertical circle willbe

Q. The acceleration due to gravity about the earths surface would be half of its value on the surface of the earth at an altitude of (R=4000mile) 1) 1200 mile b)2000mile c) 1600 mile d) 4000 mil

Q. A particle moves in a circle of radius 0.5 m at a speed that uniformly increases. Find the angular acceleration of particle if its speed changes from 2.0 m/s to 4.0 m/s in 4.0 s.

1. 
2. 
3. 
4. 

Q. A car slows down from a speed of 72 km/h to rest in25 seconds What is the acceleration

Q. 32.If a person jumps 1 m on the earth, then he will jump 6 m at the surface of the moon. Therefore, the ratio of moons acceleration due to gravity with Respect to earths acceleration due to gravity would be

Q. 79.A particle is moving in clockwise direction in a circular path as shown in figure.The instataneous velocity of particle at a certain instant is v=(3i+3j)m/s.Then in which quadrant does the particle lie at that instant?

Q. How to derive equation of motion in calculus

Q.

A car moving at a speed u is stopped in a certain distance when the brakes produce a deceleration a. If the speed of the car is nu, what must be the deceleration of the car to stop it in the same distance?

Q.

A coin is dropped in a lift. It takes time $t_1$ to reach the floor when lift is stationary. It takes time $t_2$ when lift is moving up with constant acceleration. Then

1. t₁ > t₂

2. t₂ > t₁

3. t₁ = t₂

4. t₁ >> t₂

Q. a particle is moving along a circle such that its speed increases at a constant rate 0f 10m/s2 if radius of the circle is 10m and at an instant the speed of the particle is 20m/s then the angle between the velocity and the acceleration of the particle at that instant is 1. 1/tan(4) 2. 1/tan(2) 3. 1/tan(1/4) 4. 1/tan(1/2)

Q. The velocity of an object is given by v=(6 t3i cap+t2 j cap)m/s.Find a at t=2m/s

Q. A particle moving with initial velocity 3i+2j m/s has acceleration as (-5i-3j)m/s2.Then path of particle is 1)circle 2)ellipse 3)straight line 4)parabola

Q.

Two students were asked to plot a distance-time graph for the motion described by Table A and Table B. The graph given in Figure is true for

Table A \begin{tabular}{|c|c|c|c|c|c|c|} \hline Distance moved \( ( m ) \) & 0 & 10 & 20 & 30 & 40 & 50 \\ \hline Time (minutes) & 0 & 2 & 4 & 6 & 8 & 10 \\ \hline \end{tabular} Table B \begin{tabular}{|c|c|c|c|c|c|c|} \hline Distance moved (m) & 0 & 5 & 10 & 15 & 20 & 25 \\ \hline Time (minutes) & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \end{tabular}
Fig 13.2

Q. the acceleration due to gravity on lanet A is 9 times the acceleration due to gravity on planet b .a man jumps to a height of 2 m on the surace of A what is the height of jumpby same person on planet B

Q. a ball falls freely from a height of 45m.When the ball is at a height of 25m, it explodes into 2 equal parts.One of them moves horizontally with a speed of 10m/s.The dis†an ce b/w 2 pieces on the ground is a) 10 m b)20m c) 30m d)40

Q. 31. A body is thrown with a velocity equal to n timesthe escape velocity () Velocity of the body atalarge distance away will be(1)ve Vn2(2) vvn2-1+13) ve V1-n2(4) None of these

Q. A ball is thrown vertically upwards with a velocity of 49m/s. Calculate, 1. The maximum height to which it rises. 2. The total time to return to surface of the earth

Q. Two balls are thrown simul†an eously.A vertically upwards with a speed of 20m/s from the ground and B, vertically downwards from a height of 40m with the same speed and along the same line of motion. At what points do the two balls collide

Q.

A car moving with a speed of 50 km/h can be stopped by applying brakes after at least 10 m. What will the minimum stopping distance if the same car is moving at a speed of 100 km/h?

1. 40. 1 m

2. 25.4 m

3. 30 m

4. 20.2 m