A 736-lb object is launched from the ground with an initial
upward velocity of 60 ft/sec. The atmosphere resists the motion of
the object with a force of 3 lb for each ft/sec of speed. Assuming
that the only other force acting on the object is gravity, find the
time it takes for the object to reach its maximum height:
A 736-lb object is launched from the ground with an initial upward velocity of 60 ft/sec....
3. A 180-Ib person jumps out of an airplane with initial upward velocity of 5 ft/s at a height of 3000 ft (assuming the air resistance is proportional to its falling speed). The air resists the body's motion with a force of 2 lb for each ft/s of speed. Assuming the constant gravity is 32 ft/s2. 1. find its velocity v = v(t) 2. find its terminal velocity 3. find the distance of falling x = x(t) 4. find the...
show work 4. Suppose a stone is launched vertically upward with initial velocity 32 ft/sec from a height of 48 ft above ground. After t seconds its height is given by s(t) = -16t2 + 32t + 48 At the time when the stone hits the ground it is moving with a speed of A. 32 ft/s B. 24 ft/s C. 64 ft/s D. 48 ft/s E. 96 ft/s
If an object is thrown upward with an initial velocity of 64 ft/sec, its height after t sec is given by h = 64t -16t^2. Find the number of seconds the object is in the air before it hits the ground.
A rock is thrown upward at an initial velocity of 16 ft/sec from a height of 96 feet above ground. How long will it take to hit ground?
A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. The function in height of the rock in terms of time t is f (t) = −???? + ???. Find time t at which the rock reaches its maximum height and the maximum height in feet. Round answers to two decimal places, if necessary.
A small rubber ball is launched by a compressed-air cannon from ground level with an initial speed of 17.6 m/s directly upward. Choose upward as the positive direction in your analysis. (a) What is the maximum height above the ground that the ball reaches? 15.80 (b) How long does it take to reach the maximum height? 1.7959 (c) How long does it take to reach the ground after it reaches its highest point? 1.7959 (d) What is its velocity just...
Two bodies are launched from the ground vertically upwards with an initial velocity of 400 [m / s] and with a time interval between each release of 20 [s]. Determine a) The time it takes to reach the maximum height. b) The maximum height reached c) The meeting time of the bodies. d) The height at which they are found e) The speed of each body at the moment of the encounter F) The speed just before hitting the ground.
An object is launched with an angle of 25 upward with the horizontal. The initial velocity of the object is 20 m/'s in a direction making. What is the vertical velocity of object at the maximum height reached by the object? 0.00 O 15.11 O 18.40 O 21.20
Fill in the Blanks A golf ball is projected upward from ground level at an initial velocity of 112 ft/sec. The height of a projectile can be modeled by s(t) = -16t+ vot + So, where t is time in seconds, So is the initial height in feet, and Vo is the initial velocity in ft/sec. a. How high will the ball be after 2 sec? O feet b. What is the maximum height the ball reaches? O feet c....
At moment of time t=0 a projectile is fired directly upward with an initial velocity 192 ft/sec, and initial height 200 ft. Find: a)velocity and acceleration after t seconds, (b) velocity when projectile hits the ground, (c) time of travel from the highest point to the ground. Equation of motion is h"= -32, where h(t) is the height of projectile at moment t.