When an object is​ dropped, the distance it falls in t​ seconds, assuming that air resistance is​ negligible, is given by ​s(t)=4.905t2.   where​ s(t) is in meters​ (m). If a stone is dropped from a​ cliff, assuming that air resistance is​ negligible, find the velocity and acceleration of the stone after it had been falling for 14 sec.

Q: If a ball is thrown upward from the ground with an initial speed of 96 feet per second, its height…

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Q: A model rocket shot straight upward with an initial velocity of vo = 25 m/s will reach a height of h…

A: Given data: Initial velocity of rocket, vo=25 m/s Height, ht=-4.9t2+25t

Q: A ball is thrown straight up with an initial speed of 32.9 m/s.  Find a height (in meters) that the…

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Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some…

A: Given :            Initial velocity of the car at 2.00 p.m. v(a) = 30 mi/h            Final velocity…

Q: An object of mass 20 kg is released from rest and allowed to fall under the influence of gravity.…

A: The objective of the question is to find out the time it will take for an object to reach the ground…

Q: If an arrow is shot upward on the moon with a velocity of 58 m/s, its height (in meters) after t…

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Q: An object's position is given by x=5-t^2 . At t = 2s, its velocity and speed are -10 m/s, 10 m/s -4…

A: Given data:  Position function as time  x = 5 - t2 Required: Velocity and speed at t = 2 s

Q: A model rocket is fired from the roof of a 50 ft. tall building as shown in the figure below. The…

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Q: A certain freely falling object, released from rest, requires 1.95 s to travel the last 39.5 m…

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Q: When an object is​ dropped, the distance it falls in t​ seconds, assuming that air resistance is​…

A: Velocity:-               Velocity is defined as the ratio of distance travelled by the particle to…

Q: Calculate the maximum height it reaches and the velocity of the projectile when it hits the ground…

A: You can assume mass = m , as it was not mentioned, for ymax it should be 1 according to answer ,…

Q: The equation for the (not too fast) velocity of a ball in the presence of air resistance is given to…

A: Velocity of a ball is given by :v(t) = vo(1-e-tτ)where vo is the terminal velocity τ = constant

Q: 48 m/sec. Acceleration resulting from gravity is -9.8m/sec². Neglecting air resistance, solve for…

A: Given value--- A ball is thrown upward from a height of 6 m at an initial speed of 48 m/sec.…

Q: An object of mass 5 kg is given an initial downward velocity of 50 m/sec and then allowed to fall…

A: The mass of the object: The initial downward velocity: The force due to air resistance: The initial…

Q: A steel ball weighing 2 lb is dropped from a height of 3000 ft with no velocity. As it falls, the…

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –