A construction worker pulls a five-meter plank up the side of a building under construction by means of a rope tied to one end of the plank (see figure). Assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of 0.29 meter per second. How fast (in m/sec) is the end of the plank sliding along the ground when it is 1.2 meters from the wall of the building? (Round your answer to two decimal places.) & 5m m/sec O

Two fan carts are on parallel inclined tracks are facing opposite directions. At t=0, the carts are 2.88 m apart with the fans on and they are both given a sharp push toward each other against the direction the fans are pushing them. Cart A begins (after the push) with a speed of 1.35 m/s to the right and has an acceleration of 0.44 m/s? to the left. Cart B begins (after the push) with a speed of 1.05 m/s to the left and has an acceleration to the right of 0.52 m/s?. (Hint: Keep your positive and negative directions consistent for both carts.) A a) At what two times do the two cars pass each other? b) What are the two positions at which the cars pass each other? c) What is the velocity of each car when they pass each other? d) Graph the motion of each on the position vs. time graphs and velocity vs. time graphs on the next page. time (s) time (s) (w) uojiisod velocity (m/ş)

A Doctors without Borders Cargo plane drops a large package of relief medical supplies as it is moving with a horizontal velocity vx = 250. m/s at a height above the flat ground of y=693m. What is the y component of the final velocity of the package in m/s just before it hits the ground?

A crossbow bolt is fired horizontally over level ground toward a target 37.4 m away. The bolt hits the target 0.24 m below the height at which it was fired.what was the initial speed of the bolt in m/s?

In the winter sport of bobsledding, athletes push their sled along a horizontal ice surface and then hop on the sled as it starts to careen down the steeply sloped track. In one event, the sled reaches a top speed of 9.2 m/sm/s before starting down the initial part of the track, which is sloped downward at an angle of 5.0 degrees. What is the sled's speed after it has traveled the first 140 m?

Spring Gun: A spring gun can launch a projectile with a speed of 21.52 m/s. It is placed at the edge of a table and launches a projectile horizontally. The table is 1.6m high, and the projectile travels a distance of 18.10 m before it hits the ground.The lab is on an asteroid.What is the acceleration due to gravity on this asteroid?