A16 foot ladder is leaning against a wall. if the top of the ladder slides down the wall at a rate of 3 feet per second, how fast is the bottom of the ladder moving along the ground when the bottom of the ladder is 4 feet from the wall? leave your answer in exact form, simplified as much as possible. do not include units.

An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. her jetpack provides a constant thrust of 310 n. if she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force? thaud 487 o a. 54.8 n toward the space station o b. 212.9 n toward the space station o c. 185.2 n toward the space station o d 956 n toward the space station