goals

A small block of mass $$M$$ moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from $$60^o$$ to $$30^o$$ at the point $$B$$. The block is initially at rest at $$A$$. Assume that collision between the block and the incline are totally inelastic.

In a velocity time graph, the negative slope indicates

A particle is projected from ground at an angle $${60}{o}$$ with horizontal with a speed of $$10\sqrt {3}\ m/s$$ from point $$A$$ as shown. At the same time sufficient long wedge is made to move with constant velocity $$10\sqrt {3}m/s$$ towards right from point $$A$$ as shown.

The velocity $$v$$ of a particle moving along straight line is given in terms of time $$t$$ as $$v=3({t}^{2}-t)$$ where $$t$$ is in seconds and $$v$$ is in $$m/s$$.

A batter hits a baseball so that it leaves the bat with an initial speed $$v_0=37.0$$ m/s at an initial angle $$\alpha_0=53.1^o$$, at a location where $$g=9.8$$ $$m/s^2$$.