At the height $80\, m$, an aeroplane is moved with $150\, m / s . A$ bomb is dropped from it, so as to hit a target. At what distance from the target should the bomb be dropped ? $\left(g=10\, m / s ^{2}\right)$
Time taken by the bomb to reach the ground is given by $h_{O A}=\frac{1}{2} g t_{O B}^{2}$
we have $t_{O B}=\sqrt{\frac{2 h_{Q A}}{g}}$ Given, $ h_{O A}=80 \,m , g =10\, m / s ^{2} $ $ \therefore t_{O B}=\sqrt{\frac{2 \times 80}{10}}=4 s$ Horizontal velocity of bomb $v=150\, m / s$ Horizontal distance covered by the bomb $A B =v t_{O B}$ $=150 \times 4 $ $=600 \,m$ Hence, the bomb-should be dropped $600\, m$ before the target.
The motion in a straight lineis an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.
