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...
Marcy's questions: 1. A pebble is dropped from a cliff with a height of 100 m. After t seconds, it is s meters above the ground, where s(t) = 100-51°, 0 Sis4. a) Find the average velocity of the pebble between the times t = 1s and t = 3s. on A: 12 4 b) Use the difference quotient to find the instantaneous velocity when t = 3s. A:
The height, h, in metres, above the ground of a rider on a Ferris wheel can be modelled by the equation:h= 10 sin ((pi/15 t) - 7.5) + 12 where t is the time, in seconds.At t=0, the rider is at the lowest point. Determine the first two times that the rider is 20 m above the ground, to the nearest hundredth of a second.
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
A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0) - 4 metres. The volume of water is given by V-(t)h(t) Over time, the sides of the base are decreasing at a rate of dt =-0.05 m/s and the water is leaking from a hole in the base of the...
4. A golf ball is struck from the top of a building. The height of the ball above the ground is given by the equation: h(t) = -5t? + 20t + 60, where his in meters and t in seconds. a) Determine the average rate of change (average velocity) over the interval 35156 seconds. b) Determine the instantaneous rate of change (instantaneous velocity) at t = 3 seconds. Use at least four decimal place accuracy in your calculations.
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 cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g = 9.80m/s2 . Part A Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2? Answer is 52.5 Part...
I'm not sure about b,c,d. Is there anyone can help with this question? A rectangular box of height h metres with a square base with side x(t) metres, where initial length of the side of the base is x(0) 2 metres. The box is initially filled with water to a height of h(0)4 metres. The volume of water is given by Vt)(t) Over time, the sides of the base are decreasing ata ateof0.05 m/s and the water is leaking from...
height of helicopter above ground is given as h = 3t^3, where h is in meters and t is in seconds. After 2.00s the helicopter drops a bag. How long after is is released does the bag reach the ground?I know the answer is 7.96s, but do not know how to find it.
A water balloon is shot into the air so that its height h, in metres, after t seconds is h = —4.9t^2 + 27t + 2.4 a)How high is the balloon after 1 s? b)For how long is the balloon more than 30 m high? c)What is the maximum height reached by the balloon? d)When will the balloon hit the ground?