Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake up in a strange room, and this time you drop a ball from a height of 2.41 m, and observe that it hits the floor 0.421 s after 6- you drop it. In this case you suspect you are in deep space, far from any planet or star, and that your rocket is accelerating due to the push of its own engines under the floor. In this case, what must the acceleration of your rocket be? 1 43.5 m/s^2 2 43.5 m/s^2 3. 13.6 m/s^2 4 20.4 m/s^2
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- A space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y components.You are on a planet that has an acceleration due to gravity of g = 7.0 m/s? and want to jump safely into the methane lakes below after leaping from a 11.2 meter high-cliff. If there is a ledge right at the bottom of this cliff that you want to avoid, so as to land safely in the liquid methane, that is 1.13 m wide, and assuming your initial velocity is directed entirely along the x-axis, how fast (in m/s) do you need to be running in order to land in the liquid methane?The Hulk, on the 75th story of Stark Tower (225 m off the ground), sees Tony drop his penny. He catches the penny and throws it back to Tony. What is the minimum speed necessary for Hulk's throw in order for the penny to reach Tony? (Note: nobody bothers trying to get Mjolnir back to Thor. He's on his own.)
- You throw a ball  straight up in the air with a velocity of 60 m/s on a planet where the acceleration due to gravity is 15 m/s^2 A) what is the velocity of the ball after four seconds? B) how long does it take before the ball lands back in your hand?You go to the roof of the twelve story building and look over the edge to the reflecting pool 170 feet below. You drop your book over the edge at the same instant that azmira chucks his book straight down at 48 feet per second . By how many seconds does his book into the water?OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in the floor, and you can see that you re in a rocket which has just taken off from the surface of an alien planet. By taking careful measurements out that window you determine that the rocket is accelerating upward at 7.42 m/s^2. When you drop a ball from a height of 1.74 m, it hits the floor 0.254 s later. What is the value of g for the alien world below you? 1. 63.8 m/s^2 55.2 m/s^2 3 79.1 m/s^2 4 46.5 m/s^2
- OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in the floor, and you can see that you re in a rocket which has just taken off from the surface of an alien planet. By taking careful measurements out that window you determine that the rocket is accelerating upward at 7.11 m/s^2. When you drop a ball from a height of 1.08 m, it hits the floor 0.213 s later. What is the value of g for the alien world below you? 49.0 m/s^2 60.8 m/s^2 40.5 m/s^2 57.4 m/s^2A jet plane has a takeoff speed of vto = 72 m/s and can move along the runway at an average acceleration of 1.7 m/s2. If the length of the runway is 1.4 km, will the plane be able to use this runway safely? O Yes O No Defend your answer.OK, yet another strange awakening in a room with no windows. This time you drop a ball from a height of 1.67 m and it hits the floor 0.292 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be? 1 58.8 m/s^2 29.4 m/s^2 3 49.0 m/s^2 4 39.2 m/s^2