In a free-fall experiment, an object is dropped from a height of h = 144 feet....
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...
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 above the ground (in feet) of a stone t sec after it is dropped from a bridge 752 ft above ground is given by the polynomial 752 - 1612 a. Factor the polynomial. b. Use the factored form in part (a) to find the height of the stone 6 sec after it is dropped. a. 752 - 1612-0 b. The stone is ft above the ground 6 sec after it is dropped. Enter your answer in each of...
The quarterback of a football team releases a pass at a height of 5 feet above the playing field, and the football is caught by a receiver 25 yards directly downfield at a height of 3 feet. The pass iis released at an angle of 35° with the horizontal. (a) Find the speed of the football when it is released. (Round your answer to three decimal places.) 49 77 x ft/sec (b) Find the maximum height of the football. (Round...
Suppose a ball is dropped from a height of 14 feet. Each time it drops h feet, it rebounds 0.91h feet. Find the total distance traveled by the ball. Round your answer to two decimal places.
10. (1 point) If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t) = -1672 +13t+3 find the height of the object at the time when the speed is zero. The height of the object is h(t) feet. Answer(s) submitted:
1. [25 points) Idealized frictionless free fall of an object that is dropped from being at rest at i = 0. For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Consider the following experiment. A rock with a mass of m= 2 kg is dropped at the time t = 0 from a height of 140 m above ground. Assume that the rock is simply dropped...
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.)
Use the model for projectile motion, assuming there is no air resistance and g 32 feet per second per second. The quarterback of a football team releases a pass at a height of 5 feet above the playing field, and the football is caught by a receiver 25 yards directly downfield at a height of 2 feet. The pass is released at an angle of 35° with the horizontal. (a) Find the speed of the football when it is released....
Suppose an object is dropped from an airplane with initial position, y(0) = 1200 ft. Assuming linear air resistance pv ft/sa, the formulas for velocity and position are, v(t) = (vo – Vr) e-pt +ve and 1 Yo + vrt +- (vo – v-) (1 - e-pt) Use p= 0.31 , g = 32 ft/s2 to answer the following. What is the position of the object at t = 4 sec.? (Give two decimal places.) When will the object reach...