A concrete block is dropped from the roof of a building. The block hits the ground in 6.50 s. Ignoring air resistance. (a) How high, in meters, is the building? (b) What is the magnitude of the velocity just before it reaches the ground?
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- A bullet is fired straight up in the air at an initial speed of 245 m/s. After how much time is the bullet at a height of 10.1 X 10^2 m and heading down?An atom is constrained to move along the horizontal axis only. At time t = 0.5 s, the atom is at x = 0.06 m. At time t = 2.8 s, the atom is at x = 0.46 m. What is the atom's average velocity?Old faithful geyser in Yellowstone national park shoots water hourly to a height of 40 meters. With what velocity does the water leave the ground?
- A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.55 m/s. If the salmon is in a stream with water speed equal to 1.65 m/s, how high in the air can the fish jump if it leaves the water traveling vertically upwards relative to the Earth?In a chase scene, a movie stuntman is supposed to run right off the flat roof of one city building and land on another roof 1.9 m lower. If the gap between the buildings is 4.2 m wide, how fast must he run? Answer should be the velocity in m/s.An object is thrown off of a cliff 320 m above level ground with an initial horizontal velocity of 20 m/s. How far from the building did the rock land?
- The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t − 4.9t2 after t seconds. When does the projectile meet its maximum height and what is its maximum height?The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 22.5 m/s is h = 3 + 22.5t − 4.9t2 after t seconds. When does it hit the ground? With what velocity (in m/s) does it hit the ground?An object is thrown from a level field with initial upward speed 17 m/s and forward speed 9.9 m/s. How far (in m) from its launch point is its landing place? You do not need to put the unit in the answer, just the number. As usual, ignore air resistance, etc; use the acceleration due to gravity as 9.8 meters per second squared.
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