SATHEE: Kinematics 4 Question 8

Kinematics 4 Question 8

8. A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $d / 2$ . Neglecting subsequent motion and air resistance, its velocity $v$ varies with height $h$ above the ground as

(2000, 2M) (a)

(c)

(b)

(d)

Objective Question II (One or more correct option)

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Solution:

(i) For uniformly accelerated/decelerated motion

$v^{2} = u^{2} \pm 2 g h$

i.e. $v - h$ graph will be a parabola (because equation is quadratic). (ii) Initially velocity is downwards ( $- v e)$ and then after collision, it reverses its direction with lesser magnitude, i.e. velocity is upwards (+ve). Graph (a) satisfies both these conditions.

NOTE At time $t = 0$ corresponds to the point on the graph where $h = d$ .

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Kinematics 4 Question 8

8. A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with height h above the ground as

Objective Question II (One or more correct option)

Solution:

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8. A ball is dropped vertically from a height $d$ above the ground. It hits the ground and bounces up vertically to a height $d / 2$ . Neglecting subsequent motion and air resistance, its velocity $v$ varies with height $h$ above the ground as