The distance s that a certain object falls is given by the formula
We have to find the value of s when
Substituting the value of 't' and 'v', we get
Hence the object will fall 300 feet, when
The distance s that a certain object falls from a height of 450 ft in t...
if an object is thrown vertically upward with an initial
velocity of v, from an original position of s, the height h at any
time t is given by:
h = -16t^2 + vt + s
If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by h16t2 +vt+s (where h and s are in ft, t is in seconds and v...
If an object is dropped, the time (in seconds) it takes the object to falls ft is given by the expression Find the time it takes a stone dropped from a height of 324 ft to reach the ground It takes the stone sec to reach the ground
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
Given that s(t) = - 4.9t2 + 125t represents the distance (m) of an object from the ground, t seconds after it was thrown in the air, determine when the object reaches the ground. t= 27.5 s a. t = 20.5 s Ob. t= 25.5 s Oc. t= 26.7 s d. t= 22.5 s Oe. Of. t=23.55 Given that s(t) = -4.9t2 + 132t + 20 represents the distance in meters from the ground t seconds after an object is...
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, it height in feet after t second is given by y=95t–16t2. Find the average velocity for the time period begining when t=1 and lasting(i) 01 seconds: (ii) 001 seconds:(iii) 0001 seconds:Finally based on the above results, guess what the instantaneous velocity of the ball is when t=1.
P. The horizontal distance of a projectile (in feet) is given by x (vo cos e)t, and the height of the projectile is given by y = -16t2 + (vo sin 0)t + yo where vo is the initial velocity, e is the angle of inclination, and yo is the initial height. Suppose an object is propelled upward from the ground at an angle e to the horizontal with an initial velocity of vo ft/sec. a. Find a formula for...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3)
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
An object has a velocity given by v(t) = { + 20 (in ft/sec) after t seconds. Estimate the total distance traveled by the object on the interval (2, 10) using a left hand sum with n=
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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
An object is dropped from a tower, 1024 ft above the ground. The object's height above ground i seconds after the fall is s(t) = 1024 - 1612. Determine the velocity and acceleration of the object the moment it reaches the ground. ft/s. The velocity of the object the moment it reaches the ground is (Simplify your answer.) The acceleration of the object the moment it reaches the ground is fus2 (Simplify your answer.)