Find the initial speed of the ball
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Q: Find the initial speed of the ball if it just passes over the goal
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Suppose a soccer player kicks the ball from a distance 31 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 49° above the horizontal.
Projectile Motion
A projectile is an object that is thrown without any fuel. Usually, a projectile is thrown with a velocity making an angle with respect to the horizontal. Examples of a projectile are meteors and an artillery gun firing at enemy positions.
If a projectile is thrown with velocity at an angle with respect to the horizontal, then its trajectory looks like this
and are the range and maximum height attained by the projectile.
Step by step
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- A projectile is launched from a 20.0 m high cliff with an initial velocity of 28.0 m/s at an angle of 35.0° elevation. What is the maximum height above the ground (at the bottom of the cliff) the projectile will go?A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.70 m/s at an angle of 22.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m(b) Find the height from which the ball was thrown. m(c) How long does it take the ball to reach a point 10.0 m below the level of launching? sA ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.60 m/s at an angle of 23.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m (b) Find the height from which the ball was thrown. m (c) How long does it take the ball to reach a point 10.0 m below the level of launching? Need Help? Read It Watch It O Type here to search 5:14 PM 10/13/2020
- A ball is shot from the ground into the air. At a height of 9.4 m, its velocity is = 7.71+ 6.27 m/s, with i horizontal and upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground?Suppose a soccer player kicks the ball from a distance 28.3 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.00m above the ground, given the initial direction to be 37.1 degrees above the horizontal.From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.00 m/s and angle of 21.0° below the horizontal. It strikes the ground 4.00 s later. (d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How long does it take the ball to reach a point 10.0 m below the level of launching? s
- A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.10 m/s at an angle of 19.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m(b) Find the height from which the ball was thrown. m(c) How long does it take the ball to reach a point 10.0 m below the level of launching? sIn the figure, a stone is projected at a cliff of height h with an initial speed of 49.0 m/s directed at an angle e0 = 53.0° above the horizontal. The stone strikes at A, 5.89 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. (a) Number i Units (b) Number Units (c) Number UnitsQuestions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.
- In the figure, a stone is projected at a cliff of height h with an initial speed of 42.0 m/s directed at an angle 00 = 69.0° above the horizontal. The stone strikes at A, 5.02 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. H A (a) Number i Units (b) Number i Units (c) Number UnitsA ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.70 m/s at an angle of 25.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground?m(b) Find the height from which the ball was thrown.m(c) How long does it take the ball to reach a point 10.0 m below the level of launching?sA ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.60 m/s at an angle of 18.0° below the horizontal. It strikes the ground 6.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m (b) Find the height from which the ball was thrown. m (c) How long does it take the ball to reach a point 10.0 m below the level of launching?