Question

What is the speed of an apple dropped from a tree 1.5second? What distance will it cover during this time? Take $g=10m{{s}^{-2}}$ .

Answer 1

Gravitation is a natural phenomenon in which objects with mass or energy are attracted towards other objects. Due to moon gravity tides are formed in the ocean and on earth gravity will give mass to objects. There are three newton’s laws of motion and that are newton’s first law, newton’s second law and newton’s third law.

Complete step-by-step solution:
Newton’s first law states that an object at rest continues to be at rest and an object at motion continues to be at motion until unless an external force acts on it and velocity of the object is constant when the net force on the body is zero. Newton’s first law is also called the principle of inertia.
Newton’s second law states that the rate of change of momentum of a body with respect to time is directly proportional to the applied force in the same direction as the applied force and inversely proportional to mass.
We know that $v=u+gt$ $\cdots \cdots (1)$
Where $v$ =Final speed
From the data initial speed ( $\mu$ ) =$0m{{s}^{-1}}$ and $t=1.5s$
Acceleration due to gravity ($g$ ) = $10m{{s}^{-2}}$
Substituting these values in equation (1)
$v=gt=10\times 1.5$
We get $v=15m{{s}^{-1}}$
By newton’s equation of motion
$S=ut+\dfrac{1}{2}g{{t}^{2}}$
After substituting their respective values we get
$\begin{aligned} & S=\dfrac{1}{2}\times 10\times {{(1.5)}^{2}} \\\ & S=11.25m \\\ \end{aligned}$
The distance covered by the apple is $11.25m$ .

Note: Students the solution to this problem is obtained by using Newton's law of motion and in this problem the value of gravity is given .Acceleration depends on the mass and also on the force. The force velocity, acceleration and momentum have both magnitude and a direction. Heavier objects have less acceleration compared to lighter objects.