4. A golf ball is struck from the top of a building. The height of the...
The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throwa) Determine the max height of the ballb) how long does it take for the ball to reach its max heightc) How high is the rooftop
5. A pebble falls from the top of a cliff that is 180 m high. The pebble's height above the ground is modelled by h(t) -5t-5t+180 where h is the height in metres at t seconds since the pebble started to fall. a. Find the average rate of change between 1 s and 4 s. b. Find h(3) c. Find the instantaneous rate of change of height at 3 s. d. Explain the meaning of each value calculated in parts...
A ball is thrown horizontally from the top of a 95 m building and lands 110 m from the base of the building. Ignore air resistance, and use a coordinate system whose origin is at the top of the building, with positive y upwards and positive x in the direction of the throw. Part (a) How long is the ball in the air in seconds? Part (b) what must have been the initial horizontal component of the velocity, in meters per second? Part(c)...
A ball is thrown from the top of a building 25 m high reaching a maximum height of 50 m above the ground. The ball strikes the ground at a point 80 meters from the base of the building. what is the initial velocity of the ball. (magnitude and direction)
A ball is thrown from the top of a building with an initial velocity of 23.7 m/s straight upward, at an initial height of 52.0 m above the ground. The ball just misses the edge of the roof on its way down, as shown in the figure. (a) Determine the time needed for the ball to reach its maximum height. s (b) Determine the maximum height. m (c) Determine the time needed for the ball to return to the height...
If a ball is thrown upward from a building 30 m tall and the ball has a vertical velocity of 25 m/s, then its approximate height above the ground t seconds later is given by h(t) = 30 + 25t - 5t^2 a. After how many seconds does the ball hit the ground? b. What is the domain of h? c. How high does the ball go?
A particle moves along a straight a) The average velocity on the line with equation of motion interval [3,4] s= f(t) = t? - 60 + 10, b) The instantaneous velocity. Where S is measured in meters and t in seconds. find the C) The instantaneous velocity when following: t = 4 seconds. The growth of a bacterial population is represented by the function f(t) = 1 + 5t - 2t2 Where t is the time measured in hours find...
A tennis ball is dropped from the top of a tall building of height H. It takes time t for the ball to reach the ground. At t/2 the ball has fallen through a distance: [a] equal to H/2 [b] less than H/2 [c] more than H/2.
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....
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...