A bus moves over a straight level road with a constant acceleration a. A body in the bus drops a ball outside. The acceleration of the ball with respect to the bus and the earth are respectively

Question

A bus moves over a straight level road with a constant acceleration a. A body in the bus drops a ball outside. The acceleration of the ball with respect to the bus and the earth are respectively (A) a and g (B) a+g and g-a (C) √a2+g2 and g (D) √a2+g2 and a

Tardigrade Admin · Accepted Answer

Let a rel = acceleration of ball with respect to groundacceleration of bus with respect to ground. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/93c3474e8088733467f9170e9b200bd3-.png" /> =-g hat i -a hat j mid a text rel mid=√g2+a2

Q. A bus moves over a straight level road with a constant acceleration $a$ . A body in the bus drops a ball outside. The acceleration of the ball with respect to the bus and the earth are respectively

$a$ and $g$

$a + g$ and $g - a$

$a^{2} + g^{2}$ and $g$

$a^{2} + g^{2}$ and $a$

Let $a_{re l} =$ acceleration of ball with respect to groundacceleration of bus with respect to ground.

$= - g \hat{i} - a \hat{j}$
$∣ a_{rel} ∣= g^{2} + a^{2}$

Q. A bus moves over a straight level road with a constant acceleration a. A body in the bus drops a ball outside. The acceleration of the ball with respect to the bus and the earth are respectively

a and g

a+g and g−a

a2+g2​ and g

a2+g2​ and a