You toss a ball from your hand, at height, yi, at an initial speed of 10.00 m/s, at an angle of 30.0∘ above the horizontal. The ball travels for 2.0 seconds before landing on the ground. Ignore air resistance in this problem. 1. Please sketch a picture of the problem 2. List all the known values
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- A fastball pitcher can throw a baseball at a speed of 40 m/s (90 mi/b). (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach bone plate? (b) How far does the ball drop between the pitcher’s hand and home plate?Need help finding delta xWhile standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16 m/s at an angle of 25° below the horizontal. The ball lands on the ground 3.5 s later. How tall, in meters, is the building? m DETAILS OSCOLPHYS2016 3.4.WA.047. MY NOTES ASK YOUR TEACHER A soccer ball, kicked from ground level at an angle of 73.0° above horizontal, is in the air for 4.40 s. What was its initial speed, in m/s, just after it was kicked? Ignore air resistance. m/s
- A small rocket with a booster blasts off and heads straight upwards. When at a height of 4km and a velocity of 250.0 m/s, it releases its booster. a. What is the maximum height the booster attains?b. What is the velocity of the booster at a height of 6.0 km? Neglect air resistanceSomeone standing on a hillside throws a ball up a hill with an initial speed of 11.0 m/s. The hill has a slope of 0 = 17° with respect to the horizontal, and they throw the ball at an angle of = 23° above the slope of the hill. How far away from the person will the ball land, L, in m? Answers within 3% of the true answer will be considered correct. Attach your work for full marks. Ꮎ LNeglect air friction unless otherwise specified. Remember that g is the magnitude of the acceleration due to gravity. Use g=10 m/s? for these problems. 1. You throw a snowball from a roof with a speed of 20 m/s at an angle of 36.87° above the horizontal. The ball lands at a horizontal distance of 48 meters from where you throw the snowball. Assume free fall. a. Draw a labeled diagram with all relevant information. Include origin and +x and +y directions. b. How long is the ball in the air? c. How high is the roof? d. What is the speed and direction of the snowball just before it hits the ground? Give angle relative to vertical with zero degrees being straight down.
- You fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below). a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In the projectile equations, the launch angle α0 is measured from the horizontal. What is this angle in terms of (θ) and (ϕ)?6. Each of the questions below refers to a projectile that is launched from the top of a tower, 45.0 m above the ground, at a speed of 12.5 m/s at an angle of 40.0° up from horizontal. a. Draw a diagram of the situation, labeling all of the known quantities. Also, use a dashed line to sketch in the path of the projectile from its launch until it hits the ground. b. Find the x and y components of its initial velocity. c. How long does it take to reach its maximum height? d. How high is its maximum height above the ground? e. How long is it in the air before it hits the ground? f. How far away from the base of the tower is it when it hits the ground? g. Find the x and y components of its velocity right before it hits the ground. h. Find its speed right before it hits the ground.A TI Yo Ac As Inv Eva Knc need to: 1. Ignore air resistance when answering all parts of this question. a. A golf ball is hit at 60.0° to the horizontal with an initial velocity of 1.50 x 102 ms¹. It lands at the same height from which it is hit. i. Show that the initial vertical velocity of the ball is 1.30 x 102ms¯ (1) 1/2 ii. Find the time of flight of the golf ball. iii. Calculate the range of the ball. KA1 (1) KA2 (3) KA2 (2) b. A baseball is hit at the same angle and initial speed as the golf ball in part a. However, its initial height is 1.3m above the ground. Explain why the baseball will travel further than the golf ball from part a.
- A 62-kg skier starts from rest at the top of a ski jump, point A in the figure(Figure 1) , and travels down the ramp. If friction and air resistance can be neglected, determine her speed vB when she reaches the horizontal end of the ramp at B. Express your answer using two significant figures.Cartesian Vectors in Two dimensions3. Select the expression that denotes a unit vector in the direction of F1 . a. 0.643i - 0.766 j b. 0.766i - 0.643 j c. -0.766i - 0.643 j d. 0.766i + 0.643 j 4. If α = 45ᵒ , determine the magnitude of P that makes the resultant of the three vectors(R = F1 + F2 + P ) horizontal.a. 93.9lb b. 51.5lbc. 72.7lb d. 25.8lb 5. Ifα = 45ᵒ , and the resultant (R = F + F + P ) is horizontal, determine its magnitude, R . a. 132lb b. 86.6lbc. 97.7lb d. 24.9lb 6. Ifα = 45ᵒ , find the magnitude of the projection of F1 in thedirection of P .a. 3.24lb b. 4.49lbc. 6.97lb d. 11.2lb(Do not type the unit in your answers) A new circus act is called the Texas Tumblers. Lovely Mary Belle swings from a trapeze, projects herself at an angle of 53°, and is supposed to be caught by Joe Bob, whose hands are 6.1 m above and 8.2 m horizontally from her launch point. You can ignore air resistance. a. What initial speed v, must Mary Belle have just to reach Joe Bob? Ans.: m/s b. What is the X-component of her velocity when Mary Belle reaches Joe Bob? Ans.: m/s c. What is the y-component of her velocity when Mary Belle reaches Joe Bob? Ans.: m/s
