If a rock falls from a height of 20 ??, the height (in meters) after ?? seconds is approximated by ??(??) = 20 ? 4.9??^2. Round all answers to the nearest hundredth and include units.
1. How long does it take to reach a height of 5 meters.
If a rock falls from a height of 20 ??, the height (in meters) after ??...
If a rock falls from a height of 37 meters on Earth, the height H (in meters) after x seconds is approximately H(x) = 37 - 4.9x? (a) What is the height of the rock when x = 1.9 seconds? The height of the rock when x = 1.9 seconds is meters. (Round to three decimal places as needed.) (b) When is the height of the rock 12 meters? The height of the rock is 12 meters when x seconds...
A rock thrown vertically upward from the surface of the moon at a velocity of24 m/sec reaches a height of s=24t-0.8t^2 meters in t seconds.a) Find the rock’s acceleration and velocity at time t.b) How long does it take the rock to reach its highest point?c) How high does the rock go?d) How long does it take the rock to reach half its maximum height?e) How long is the rock aloft?
in such a way that its height, h meters after t seconds is given by the equation h.-49%28 7t +42 How Atoy rocket i launched froma 42 high plat ong will it take for the rocket to hit the ground? The toy rocket will hit the ground after approximately □ seconds Type an integer or a decimal Round to the nearest hundredth as needed)
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
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t^2.(a) Find the velocity of the rock after two seconds.(b) Find the velocity of the rock when t = a.(c) When will the rock hit the surface? (Round your answer to one decimal place.)(d) With what velocity will the rock hit the surface?
If you dropped a rock from a height of 1.1 m on 243 Ida, how long would it take to reach the ground? Express your answer to two significant figures and include the appropriate units. If you can jump 62 cm straight up on earth, how high could you jump on 243 Ida? (Assume the asteroid's gravity doesn't weaken significantly over the distance of your jump.) Express your answer to two significant figures and include the appropriate units. The asteroid...
A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 0.8 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s^2. 1)What is the speed of the...
A red ball is thrown down with an initial speed of 1.2 m/s from a height of 26 meters above the ground. Then, 0.4 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 1 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s2. 1) What is the speed of...
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function h(t)=-4.9t^2+29.4t+1. How long does it take for the baseball to reach maximum height? What is the maximum height obtained by the baseball? A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the tundtion...
Please CIRCLE your answers 4. A rock is dropped at rest from a height of 90 m. (Use g = 9.8 m/sec.) a) How many seconds does it take for the rock to hit the ground. b) What is the speed of the rock at impact?