If a rock falls from a height of 50 meters on Earth, the height H (in meters) after x seconds is approximately H(x) = 50-4.9x^2 When does the rock strike the ground? Round to the nearest hundredth, if necessary.

At the same moment from the top of a building 3.0 × 102 m tall, one rock is dropped from rest and one is thrown directly downward with an initial speed of 10.0 m/s.How much EARLIER does the thrown rock strike the ground?Neglect air resistance and express your answer in seconds.

When the stone hits the ground, its height is 0 ft. We can now use0 = s(4.75) = −16 2  + h.Solving for h we find that the height of the cliff ish = ft.

If a rock is thrown upward on the planet Mars with a velocity of 15 m/s, its height above the ground (in meters) after t seconds is given by H = 15t − 1.86t2.(a)Find the velocity (in m/s) of the rock after 2 seconds. m/s(b)Find the velocity (in m/s) of the rock when t = a.15−3.72a m/s(c)When (in seconds) will the rock hit the surface? (Round your answer to one decimal place.)t = s(d)With what velocity (in m/s) will the rock hit the surface? m/s

A rock is thrown at a window that is located 18.0 m above the ground. The rock is thrown at an angle of 40.0° above horizontal.The rock is thrown from a height of 2.00 m above the ground with a speed of 30.0 m/s.If the rock strikes the window on its upward trajectory, from what horizontal distance from the window was it released?Ignore air resistance and express your answer in meters.

h=−4.9t 2 +25tThe equation above expresses the approximate height ℎ, in meters, of a ball 𝑡𝑡 seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?A3.5B4.0C4.5D5.0