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- You throw a baseball directly upward at time t=0 at an initial speed of 12.1 m/s. What is the maximum height the ball reaches above where it leaves your hand? Ignore air resistance and take g=9.80 m/s2 At what times does the ball pass through half the maximum height?The acceleration due to gravity on the surface of a planet depends on the mass and size of the planet; therefore, other planets will have accelerations due to gravity other than 9.8 m / s2. Imagine an astronaut standing on an alien planet, which has no atmosphere, and throws a stone with a velocity of 7.35 m / s in a horizontal direction, dropping it at a height of 1.40 m above the surface of the planet. The rock hits the surface at a horizontal distance of 9.50 m from the astronaut. Find the magnitude of the acceleration due to gravity, in m / s2, on this alien planet.You are diving board over a swimming pool. You are throwing upward a tennis ball at a speed 3 m/s. On its way back down the tennis ball narrowly misses the diving and hits the water below at 15 m/s. The board is about
- Your brother slides his glass of milk horizontally at a speed m of 0.8 at a frictionless table which is 1.3 m tall. You tried to catch it but missed such that the glass followed a curved path before it crashed on the floor. How far away from the edge of the table did the glass hit the floor?You launch a projectile. It takes 3.9 seconds to reach its maximum height. What was the vertical component of the projectile's initial velocity? Neglect air resistance. 19 m/s 31 m/s 38 m/s 57 m/sA stone is thrown from the top of a 59.4 m high rock. The vertical component of the initial speed of the stone is 19.5 m / s upwards. How long does the stone spend in the air? Suppose the soil at the base of the rock is flat.
- A 5-kg block slides off the horizontal surface of a table with initial speed 1.45 m/s and hits the ground a horizontal distance 0.754 m from the table. How high is the table?In 1989, Michel Menin of France walked on a tightrope suspended under a balloon nearly at an altitude of 3150 m above the ground. Suppose a coin falls from Menin’s pocket during his walk. How high above the ground is the coin when its speed is 60.0 m/s?a person standing on edge of cliff kicks a stone over the edge with a speed of 18 m/s. the height is 52 m above water surface. how long will it take the stone to fall into the water? With what speed does the stone strike the water?
- A weather station releases a weather balloon. The balloon’s buoyancy accelerates it upward at 15 m/s2. At the same time, a wind accelerates it horizontally to the right at 6.5 m/s2. What is the resulting acceleration?A hockey puck slides off the edge of a table with an initial velocity of 20.0 m/s. The height of the table above the ground is 20.0 m. What is the magnitude of the vertical component of the velocity of the puck in m/s just before it touches the ground? Use g = 9.80 m/s2. Neglect air resistance.A prankster flips a coin off of the Empire Building at a height of 1054 feet above the ground. The initial vertical velocity of the coin is 1.20m/s. In real life, air resistance would limit the maximum speed the coin can attain during its fall, but if air resistance were not a factor and assuming it has practically no horizontal motion, answer the following questions. (1 foot = 0.3048m) a. What would the coin's velocity be when it hits the ground? b. How long would it take to hit? c. How high would the coin be halfway through the total falling time, and how fast would it be falling then?