. A 16-pound weight moves in a horizontal straight line under the joint action of a constant force of 8 pounds in the direction of motion, and a resisting force whose magnitude in pounds is equal to twice the velocity and in feet per second. If the body starts from rest, find its velocity and the distance traveled after 1/4 second.
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
Answer the following questions:
1. A 16-pound weight moves in a horizontal straight line under the joint action of a constant force of 8 pounds in the direction of motion, and a resisting force whose magnitude in pounds is equal to twice the velocity and in feet per second. If the body starts from rest, find its velocity and the distance traveled after 1/4 second.
2. A body falls from rest against a resistance that is proportional to the square root of the speed at any instant. If the terminal speed is 64 feet per second, how long will it take to attain a speed of 49 feet per second?
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