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Projectile Problem Set 2 Name: ________________ Include all formulas used, show all work Underline your answers! A ball is launched into the air at an angle of 32.0 o with an initial speed of 18.0 m/s. Neglecting air resistance, determine how long the ball will be in the air? A projectile is fired from ground level with an initial speed of 50 m/s at an angle of 52o toward a tall building. The base of the building is 200 m from where the projectile is fired. Find the speed of the projectile and its direction of travel just before it hits the building. You throw a stone over a 45m cliff at 20 m/s directly forwards. How far from the base of the cliff does the stone land? A ball is hit at 20 m/s at an angle of 30° above horizontal. What forward and what vertical speeds does this represent? On the moon, Astronaut Bloggs, hits a golf ball at 25° above horizontal with a speed of 40m/s. Given the acceleration caused by the Moon’s mass is 1.6 m/s2, calculate how far away the ball lands. In a watermelon seed spitting competition from a sitting start, who wins, Joanne with a spit of 4m/s at an angle of 30° or Peter with a spit of 4.5m/s at an angle of 25°? A rock is launched horizontally from a 44 meter high cliff at 15 meters/second. How long is the rock in the air? How far does it go? A famous motorcyclist plans to jump a 3.5km wide canyon. He will use a 30 degree ramp and leave at 196m/s. Will he make it? You throw a rock up into the air with an initial velocity of 15 m/s. How long do you have to wait until it hits you on the head? You fire a projectile at a 30 degree angle with respect to the ground. The speed of the projectile is 20 m/s. What are the horizontal and vertical components of its velocity? Pedro kicks a soccer ball at 10 m/s at an angle of 60°above the horizontal. What is the horizontal distance the ball travels? If a monkey throws a banana off of a tower that is 100 m tall, and the banana travels a horizontal distance of 90 m, how fast was the banana going when it left the monkey's hand? If a gun has a muzzle velocity of 100 m/s and an angle of elevation of 30o, find the range of the gun. A baseball is thrown horizontally from a window that is 22 m high. If the initial speed of the ball is 18m/s, find (a) how long the ball takes to reach the ground and (b) how far from the building it lands. A toy gun fires a dart at a velocity of 8 m/s. If it is fired horizontally, how far above the bulls-eye must you aim to be sure of hitting it, if the target is 10m away? A shotputter throws the shot with an initial speed of 13m/s at an angle of 42 degrees above the horizontal. Assuming that the shot is released from a height of 2.1 meters above the ground, calculate the horizontal distance the shot travels before it lands. A rock is thrown with an initial vertical velocity component of 30 m/s and an initial horizontal velocity component of 40 m/s. a. What will these velocity components be one second after the rock reaches the top of its path? b. Assuming the launch and landing heights are the same, how long will the rock be in the air? c. Assuming the launch and landing heights are the same, how far will the rock land from where it was thrown? An outfielder throws a ball from right field with a velocity of 132 ft/sec (90 mph). If the ball is released from a height of 6 ft with only horizontal velocity, how far does it go before hitting the ground? A ball is thrown with a velocity of 30 m/sec at an angle of 30° above the horizontal. a. How long does it take to reach its highest height? b. How high is this? c. What is the total time the ball is in the air? d. How far in the horizontal direction has it gone? A garden hose shoots water horizontally from the top of a tall building toward the wall of a second building 20 meters away. If the speed with which the water leaves the hose is 5 m/sec, how long does it take the water to reach the second building, and what distance does the water fall in this time? A bullet is fired horizontally from a gun with an initial velocity if 2000 ft/sec. If the bullet travels a horizontal distance of 1000 ft what vertical distance does it drop?
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