Given that s(t) = - 4.9t2 + 125t represents the distance (m) of an object from...
A projectile is thrown upward so that its distance above the ground after t seconds is h(t) = - 16/? +3121. After how many seconds does it reach its maximum height? O A. 10 sec OB. 6 sec OC. 26 sec O D. 19.5 sec
16) An object is thrown into the air and its position can be modelled by s(t) = -4.9t2 + 60t + 5 m. a) Find the time when the object will be in the air. Write the domain of the function.
An object shot into the air follows the path given by F(t) = (at, bt – 4.9t2) m with t in seconds and a and b are unknown physical constants. y (m) 500 m/s 30° (m) The launch velocity is 500 m/s at an angle of 30°. What is the total distance traveled through the air? Be accurate to within 10 meters. 22092.5 m x
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 stone thrown downward with an initial velocity of 34.3 m/sec travel a distance of s meters, where:s(t)=4.9t + 34.3t and t is in seconds. If a stone is thrown downward at 34.3m/sec from a height of 294 m, how long will it take the stone to reach the ground?I am putting 294 in for t and trying to solve it that way. Is this correct? If not please let know where I am going wrong.
An object is thrown in a vertical direction from the edge of the roof of a building. The height in feet s(t) of the object seconds after it is thrown is given by the function () --167 +32+ + 48. (a) State the height of the roof. (b) State the number of seconds required for the object to reach the maximum height. sec (c) State the maximum height reached by the object (d) State the time that passes before the...
An object thrown vertically upward from the surface of a celestial body at a velocity of 24 m/s reaches a height of s = -0.6t2 + 24t meters in t seconds. a. Determine the velocity v of the object after t seconds. b. When does the object reach its highest point? c. What is the height of the object at the highest point? d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is...
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...
An object of mass 700 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b=50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? (Hint: Here the exponential term is too large to ignore. Use Newton's method to approximate the time t when the object...
An object is thrown downward with a speed of 4.700 m/s from a location 20.00 m directly above the ground. Assume there is no air resistance. 1) how long does it take the object to reach the ground? 2) with what speed does the object strike the ground?