As shown in the diagram below, a student standing on the roof of a 50.0-meter-high building kicks a stone at a horizontal speed of 4.00 meters per second. v = 4.00 m/s 50.0 m Level ground (Not drawn to scale) How much time is required for the stone to reach the level ground below? [Neglect friction.] (1) 3.19 s (2) 5.10 s (3) 10.2 s (4) 12.5 s OO0O OOOO.

The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s

Problem #8

Please answer the following, thank you!

At the Earth's surface, a projectile is launched straight up at a speed of 7.5 km/s. To what height will it rise? Ignore air resistance. 2.87e+06 Your response differs from the correct answer by more than 10%. Double check your calculations. m

The elevations of the ski jumping hill shown below are as follows: hA = 49 m hg = 3.5 m hc = 5.2 m If the velocity of a ski jumper is measured to be 25.4 m/s at position B, what will be the launch velocity (in m/s) at position C [round your final answer to one decimal place]? A hA C B hc nB

[3.] Three rocks, each of mass 12.0 kg, are thrown off a cliff with the same speed, 5.00 m/s. One is thrown straight up. One is thrown directly horizontally. One is thrown straight down. Which rock has the greatest speed just before they stroke the ground, 18 m below? Explain your answer fully. 18 m

As shown in the figure, a rock is shot upward from the edge of a vertical cliff. It leaves the edge of the cliff with an initial velocity of v directed at 30° from the horizontal direction and experiences no appreciable air resistance as it travels. The rock lands 2 seconds later. How high is the building?