Ncert Exercises & Solutions

4.17. A particle is projected in the air at some angle to the horizontal, moves along parabola as shown in the figure, where x and y indicate horizontal and vertical directions respectively. Show in the diagram, direction of velocity and acceleration at points A, B, and C.

Hint: Velocity will always be tangential to the curve in the direction of motion and acceleration is always vertically downward.

Step 1: Draw the diagram

Consider the adjacent diagram in which a particle is projected at an angle $θ$ $θ$

$v_{x}$ $v_{x}$ = Horizontal component of velocity = v cos $θ$ $θ$ = constant.
$v_{y}$ $v_{y}$ = Vertical component of velocity =v sin $θ$ $θ$

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