all formulae of class 9 science ch8 motion
Answers
Answer:
speed=total distance travelled/ time required
velocity=displacement/time
(a) acceleration= change in velocity/time
(b) acceleration= a= final velocity-innitial velocity/ time
rate of Change of momentum= change into momentum/ time
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AS I SEE U HAVE ASKED FOR THE EQUATIONS OF MOTIONS
To state this formally, in general an equation of motion M is a function of the position r of the object, its velocity (the first time derivative of r, v =
dr
/
dt
), and its acceleration (the second derivative of r, a =
d2r
/
dt2
), and time t. Euclidean vectors in 3D are denoted throughout in bold. This is equivalent to saying an equation of motion in r is a second-order ordinary differential equation (ODE) in r,
{\displaystyle M\left[\mathbf {r} (t),\mathbf {\dot {r}} (t),\mathbf {\ddot {r}} (t),t\right]=0\,,}M\left[\mathbf {r} (t),\mathbf {\dot {r}} (t),\mathbf {\ddot {r}} (t),t\right]=0\,,
where t is time, and each overdot denotes one time derivative. The initial conditions are given by the constant values at t = 0,
{\displaystyle \mathbf {r} (0)\,,\quad \mathbf {\dot {r}} (0)\,.}\mathbf {r} (0)\,,\quad \mathbf {\dot {r}} (0)\,.
The solution r(t) to the equation of motion, with specified initial values, describes the system for all times t after t = 0. Other dynamical variables like the momentum p of the object, or quantities derived from r and p like angular momentum, can be used in place of r as the quantity to solve for from some equation of motion, although the position of the object at time t is by far the most sought-after quantity.
Sometimes, the equation will be linear and is more likely to be exactly solvable. In general, the equation will be non-linear, and cannot be solved exactly so a variety of approximations must be used. The solutions to nonlinear equations may show chaotic behavior depending on how sensitive the system is to the initial conditions.