# Acceleration in 2D

## Trending Questions

**Q.**

A body starting from rest travels with uniform acceleration. If it travels $100m$in $5s$, what is the value of acceleration?

**Q.**

The component of a vector is

always less than its magnitude

always greater than its magnitude

always equal to its magnitude

none of these

**Q.**

If a unit vector is represented by $0.5\hat{i}+0.8\hat{j}+c\hat{k}$, then find the value of $c$.

$0.1$

$\sqrt{0.11}$

$\sqrt{0.8}$

$1$

**Q.**

How will the equations of motion for an object moving with a uniform velocity change?

**Q.**The coordinates of a particle moving in a plane are given by x(t) = a cos (pt) and y(t) = b sin (pt) where a, b (<a) and p are positive constants of appropriate dimensions. Then

- the velocity and acceleration of the particle are normal to each other at t=π/(2p)
- the distance travelled by the particle in time interval t=0tot=π/(2p) is a
- the path of the particle is an ellipse
- the acceleration of the particle is always directed towards a focus

**Q.**A uniform force of (3^i+^j)N acts on a particle of mass 2kg. Hence, the particle is displaced from position (2^i+^k)m to position (4^i+3^j−^k)m. The work done by the force on the particle is:

- 6J
- 9J
- 13J
- 15J

**Q.**

A body is projected vertically upwards. The times corresponding to height h while ascending and while descending are t1 and t2 respectively. Then, the velocity of projection is:

g√t1t2

g√t1t22

g(t1+t2)2

gt1t2t1+t2

**Q.**A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls

- Outside the car
- In the car ahead of the person
- In the car to the side of the person
- Exactly in the hand which threw it up

**Q.**An electron (−e, m) is given velocity Vo along a uniform electric field →E. After how much time, electron will return to its original position?

- 2mVoeE
- mVoeE
- eEmVo
- 2eEmVo

**Q.**A particle moves such that its position vector →r (t)=cos ωt ^i+sin ωt ^j where ω is a constant and t is time. Then which of the following statements is true for the velocity →v (t) and acceleration →a (t) of the particle:

**Q.**

Two inclined planes OA and OB having inclination (with horizontal) 30∘ and 60∘ respectively , intersect each other at O as shown in figure.A particle is projected from point P with velocity along a direction perpendicular to plane OA. if the particle strickes planne OB perpendicularly at Q, calculate ,

(i) Velocity with which particle strikes the plane OB. (u) 16.25

(ii) Time of flight (v) 20

(iii) Verticla height h of P from O (w) 10

(iv) Maximum height from the ground (x)5

(v) Distance PQ (y)2

(i) - (x), (ii) - (u), (iii) - (v), (iv) - (w), (v) - (y)

(i) - (w), (ii) - (y), (iii) - (x), (iv) - (u), (v) - (v)

(i) - (y), (ii) - (w), (iii) - (x), (iv) - (u), (v) - (v)

None of these

**Q.**

An elevator is descending with uniform acceleration. To measure the acceleration, a person in the elevator drops a coin at the moment the elevator starts. The Coin is 6 ft above the floor of the elevator at the time it is dropped. The person observes that the coin strikes the floor in 1 second. calculate from these data the acceleration of the elevator.

**Q.**

A body is thrown vertically upward such that the distance travelled by it in fifth and sixth second are equal .the maximum height reached by body is

**Q.**

A body of mass 2 kg has an initial velocity of 3 m/s along OE and it is subjected to a force of 4

Newton’s in OF direction perpendicular to OE. The distance of the body from O after 4 seconds will be

28 m

20 m

48 m

12 m

**Q.**Can three vectors, which not in one plane, give a zero resultant?

**Q.**A ball strikes the floor vertically downward with a speed 5 m/s and rebounds with the same speed the magnitude of change of its velocity will be?

**Q.**

Assuming that the mass of Earth is $100$ times larger than that of Moon and radius of Earth is about $4$ times as that of Moon, show that the weight of an object on Moon is $\frac{1}{6}\mathrm{th}$ of that on the earth.

**Q.**

An empty plastic box of mass m is found to acclerate up at the rate of g/6 when placed deep inside water. How much sand should be put inside the box so that it may accelerate down at the rate of g/6 ?

**Q.**In case of projectile motion, what is the acceleration along the horizontal and vertical?

**Q.**a shell is fired vertically upwards with a velocity v1 from a trolley moving horizontally with velocity v2. a person on the ground observes the motion of the shell as a parabola , whose horizontal range is?

**Q.**A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic and not drawn to scale)

**Q.**

Find the acceleration of the moon with respect to the earth from the following data : Diistance between the earth and the moon = 3.85×105km and the time taken by the moon to complete one revolution around the earth = 27.3 days.

**Q.**a body thrown vertically upward with initial velocity 52m/s fro ground passes twice a point at h height above at an interval of 10s the height h is

**Q.**

Find the acceleration due to gravity of the moon at a point 1000 km above the moon's surface. The mass of the moon is 7.4×1022 kg and its radius is 1740 km.

**Q.**A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion:

**Q.**

The distance traveled by a body starting from rest and moving with uniform acceleration is directly proportional to the square of the time.

- True
- False

**Q.**

A healthy youngman standing at a distance of 7 m from 11.8 m high building sees a kid slipping from the top floor. With what speed (assumed uniform) should he run to catch the kid at the arms height (1.8)m ?

**Q.**

A particle of mass $m$ is moving in a circular path of constant radius $r$ such that centripetal acceleration is varying with time $t$ as ${k}^{2}r{t}^{2}$, where $k$ is a constant. The power delivered to the particle by the force acting on it is

${m}^{2}{k}^{2}{r}^{2}{t}^{2}$

$m{k}^{2}{r}^{2}t$

$m{k}^{2}r{t}^{2}$

$mk{r}^{2}t$

**Q.**

An NCC parade is going at a uniform speed of 6 km/h through a place under a berry tree on which a bird is siting at a height of 12.1 m. At a particular instant the bird drops a berry. Which cadet (give the distance from the tree at the instant) will receive the berry on this uniform.

**Q.**

The maximum resultant of two forces is$P$and the minimum resultant is$Q$, the two forces are at right angles, the resultant is

$P+Q$

$P\u2013Q$

$\frac{1}{2\left(\sqrt{{P}^{2}+{Q}^{2}}\right)}$

$\sqrt{\frac{{P}^{2}+{Q}^{2}}{2}}$