Advertisements
Advertisements
Question
For any arbitrary motion in space, state whether the following statement is true:
`"a"_"average"=["v"("t"_2) - "v"("t"_1)]/("t"_2 - "t"_1)`
(The ‘average’ stands for average of the quantity over the time interval t1 to t2)
Options
True
False
Solution
This statement is True.
Explanation:
This equation can represent the particle's arbitrary motion.
APPEARS IN
RELATED QUESTIONS
On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.
For any arbitrary motion in space, state whether the following statement is true:
`"V"_"average"` = `(1/2)("v"("t"_1) + "v"("t"_2))`
(The ‘average’ stands for average of the quantity over the time interval t1 to t2)
For any arbitrary motion in space, state whether the following statement is true:
v (t) = v (0) + a t
(The ‘average’ stands for average of the quantity over the time interval t1 to t2)
In a two dimensional motion, instantaneous speed v0 is a positive constant. Then, which of the following are necessarily true?
A small toy starts moving from the position of rest under constant acceleration. If it travels a distance of 10 minutes, the distance travelled by the toy in the next will be ______.
Two vectors `vec"A"` and `vec"B"` have equal magnitudes. If magnitude of `vec"A"` + `vec"B"` is equal to two times the magnitude of `vec"A"` - `vec"B"`, then the angle between `vec"A"` and `vec"B"` will be :
The position of a particle is x - y plane is described by the variables x = at3 and y = 2at. Then the acceleration of the particle ______.
A particle of mass 10-2 kg is moving along the positive x-axis under the influence of a force F(x) = `-"K"/(2x)^2` where K = 10-2 Nm2. At time t = 0 it is at x = 1.0 m and its velocity is v = 0. The velocity of particle will be ______ m/s, when it reaches x = 0.50 m.
Boat travels upstream in a river and at t = 0 a wooden cork is thrown over the side with zero initial velocity. After 7.5 minutes the boat turns and starts moving downstream catches the cork when it has drifted 1 km downstream. Then the velocity of water current is ______.
A displacement vector, at an angle of 30° with y-axis has an x-component of 10 units. Then the magnitude of the vector is ______.
