At the Science Olympiad competition, a group of middle school students use a trebuchet that launches a tennis ball from a height of 1.111 m above the ground with a speed of 14.55 m/s and initial angle of 30.45° with respect to the horizontal. What horizontal distance will the tennis ball cover before it hits the ground?
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- A projectile with an initial velocity of 59.0 m / s is launched at an angle of 35.0 ° above the horizontal. The projectile lands on a hillside 3.80 s later. Neglect air friction. (Suppose the + x axis goes to the right and the + y axis goes up along the page). (a) What is the velocity of the projectile at the highest point of its trajectory? (magnitude m / s and direction ° (counterclockwise from the + x axis) b) What is the straight-line distance from where the projectile was launched to where it hits its target?A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?What is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?
- If a projectile is launched at 73 degrees above the horizontal at 57.9 m/s, what is the direction of the projectile’s acceleration?A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.47 m/s at an angle of 83.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.90 m above the table?A cannonball is aimed 36.9° above the horizontal and is fired with an initial speed of 180 m/s at ground level. How far away from the cannon will the cannonball hit the ground?
- You launch a projectile at an initial speed of 38.8 m/s from the ground. After 5.10 seconds of flight, the projectile lands on the ground. At what angle above the horizontal was the projectile launched?A baseball with mass of 0.14 kg is batted into the air. It's initial speed is 38.1 m/s directed at an angle 26 degrees above the horizontal. Of the height of the ball when it was struck by the bat is 35 cm how high off the ground is the ball when it reaches the highest point in its trajectory?Billy launches a tennis ball with a sling shot at an angle of 62 degrees above the horizontal at a speed of 45 meters per second . The tennis ball lands in a nearby tree. How far away is the tree?
- In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?Spitting cobras can defend themselves by squeezing muscles around their venom glands to squirt venom at an attacker. Suppose a spitting cobra rears up to a height of 0.520 m above the ground and launches venom at 3.10 m/s, directed 43.0° above the horizon. Neglecting air resistance, find the horizontal distance (in m) traveled by the venom before it hits the ground.When throwing a ball, your hand releases it at a height of 1.5 m above the ground with velocity 6.8 m/s in direction 57° above the horizontal. (a) How high above the ground (not your hand) does the ball go?(b) At the highest point, how far is the ball horizontally from the point of release?