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- A baseball player hits a home run, and the ball lands in the left-field seats, y = 8.00 m above the point at which it was hit. It lands with a velocity of v = 37.0 m/s at an angle of 28o below the horizontal (see the Figure). The positive directions are upward and to the right in the drawing. Ignoring air resistance, find (a) the magnitude and (b) the direction of the initial velocity with which the ball leaves the bat.A lifeguard stands on top of a watch tower at the beach and purposely throws a stone horizontally with a speed of vi=18.0 m/s. The height of the tower is 50.0 m above the ground. With what speed does the stone land? How long after being released does the stone strike ground? With what angle of impact does the stone land?A boy wishes to throw a ball over a flat roofed school house that stands 12 m wide and 7.5 m high on level ground. Assuming that the ball will leave his hand at a height of 5 m above the ground,determine how far from the wall he should take his hand in order to make the ball clear the roof with least effort, that is, with minimum velocity.
- A marble rolls off the edge of a tabletop and then lands on the floor 80 cm away from the base of the table. If the table is 1.20 m high, what is the initial velocity of the ball?A playground is on the flat roof of a city school, 6.00 m abovethe street below (Fig. P3.19). The vertical wall of the buildingis h = 7.00 m high, to form a 1-m-high railing around the playground.A ball has fallen to the street below, and a passerbyreturns it by launching it at an angle of θ = 53.0° above thehorizontal at a point d = 24.0 m from the base of the buildingwall. The ball takes 2.20 s to reach a point vertically abovethe wall. (a) Find the speed at which the ball was launched.(b) Find the vertical distance by which the ball clears the wall.(c) Find the horizontal distance from the wall to the point onthe roof where the ball lands.A basketball player is standing on the floor 14.0 m away from the basket. The height of the basket is 3.05 m, and heshoots the ball at 49.0° with the horizontal from a height of 2.00 m. At what speed must the player shoot the ball so thatit goes through the hoop without striking the backboard?
- When a projectile is fired with a velocity of 815 m/s at an angle of 37º above the horizontal, the maximum height reached by the projectile is what?The highest barrier that a projectile can clear is 18.7 m, when the projectile is launched at an angle of 23.2° above the horizontal. What is the projectile’s initial velocity (magnitude only since the angle is already given)?A disk was thrown at an angle of 35deg to the horizontal. With what initial speed should the disk be thrown in order to land 75m away?
- a cannon is used to provide the initial launch of a 400,000 kg rocket at an angle of 40° from the horizontal. if the rocket leaves the barrel of the cannon 10 meters from the ground at a velocity of 800 m/s, what is the peak height (y value) reached of the rocket, how far has the rocket traveled (x value) and how long will it take to reach the peak height?The initial speed of the ball is v0 = 22.2 m/s, the angle the ball is hit at is θ = 43o, and g = 8.4. How far away does the ball hit the ground?Our pinoy pride, Kai Sotto, is now training for his upcoming 3x3 basketball tournament next year. Under International Basketball Federation (FIBA) rules, the three-point line is 6.75 meters from the center of the basket. If he will train for three-point shooting, what should be the ball's angle when he shoots the ball if he will try to shoot from a height as high as the basket with an initial velocity of 8.2 m/s? Is it 40°; 50°; 60°? How long would it take for the ball to reach the ring for each of the angles? What is the ball's maximum height for each of the angles? And how fast is the ball's horizontal and vertical initial velocities for each or the angles?