Home
Class 12
PHYSICS
A stone is thrown horizontally with the ...

A stone is thrown horizontally with the velocity `v_(x) = 15m//s`. Determine the normal and tangential accelerations of the stone in I second after begins to move.

Text Solution

Verified by Experts

The correct Answer is:
`a_(t) = (20)/(sqrt(13)), a_(n) = (30)/(sqrt(30))`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    ALLEN |Exercise Dynamics of circular motion|8 Videos

  • CIRCULAR MOTION

    ALLEN |Exercise EXERCISE(S-2)|6 Videos

  • CIRCULAR MOTION

    ALLEN |Exercise EXERCISE (J-A)|6 Videos

  • BASIC MATHS

    ALLEN |Exercise Question|1 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

Similar Questions

Explore conceptually related problems

A particle is moving with a velocity of vec(v)=(3hat(i)+4that(j))m//s . Find the ratio of tangential acceleration to that of total acceleration at t=1sec

A stone is projected from point P on the inclined plane with velocity v_(0) = 10 m//sec directed perpendicular to the plane. The time taken (in second) by the stone to strike the horizontal ground S is (Given PO = l = 10 meter)(Take g = 10m//s^(2) )

A trolley is moving horizontally with a constant velocty of v m//s w.e.t. earth. A man starts running from one end of the trolley with velocity 1.5v m//s w.r.t. to trolley. After reaching the opposite end, the man return back and continues running with a velocity of 1.5 v m//s w.r.t. the trolley in the baclward direction. If the length of the trolley is L then the displacement of the man with respect to earth during the process will be :-

A stone is falling from a mountain. The velocity of the stone is given by V = 9.8t. Draw its graph and find the velocity of the stone ‘4’ seconds after start.

Two objects move in the same direction in a straight line. One moves with a constant velocity v_(1) . The other starts at rest and has constant acceleration a. They collide when the second object has velocity 2v_(1) . The distance between the two objects when the second one starts moving is :-

An object A is kept fixed at the point x= 3 m and y = 1.25 m on a plank p raised above the ground . At time t = 0 the plank starts moving along the +x direction with an acceleration 1.5 m//s^(2) . At the same instant a stone is projected from the origin with a velocity vec(u) as shown . A stationary person on the ground observes the stone hitting the object during its downward motion at an angle 45(@) to the horizontal . All the motions are in the X -Y plane . Find vec(u) and the time after which the stone hits the object . Take g = 10 m//s

For any particle moving with some velocity (vecv) & acceleration (veca) , tangential acceleration & normal acceleration are defined as follows. Tangential acceleration - The component of acceleration in the direction of velocity. Normal acceleration - The component of acceleration in the direction perpendicular to velocity. If at a given instant, velocity & acceleration of a particle are given by . vecc=4hati +3hatj vaca=10hati+15hatj+20hatk Find the tangential acceleration of the particle at the given instant :-

For any particle moving with some velocity (vecv) & acceleration (veca) , tangential acceleration & normal acceleration are defined as follows. Tangential acceleration - The component of acceleration in the direction of velocity. Normal acceleration - The component of acceleration in the direction perpendicular to velocity. If at a given instant, velocity & acceleration of a particle are given by . vecc=4hati +3hatj veca=10hati+15hatj+20hatk Find the normal acceleration of the particles at the given instant :-

A truck starts from rest and accelerates uniformly at 2.0 m s^(-2) . At t = 10 s, a stone is dropped by a person standing on the top of the truck (6 m high from the ground). What are the (a) velocity, and (b) acceleration of the stone at t = 11s ? (Neglect air resistance.)