
3. A dolphin leaps out of the water at an angle of 35 above the horizontal....
A dolphin leaps out of the water at an angle of 42.2 degree above the horizontal. The horizontal component of the dolphin's velocity is 8.40m/s. Find the magnitude of the vertical component of the velocity.
c) A dolphin leaps out of the water at an angle of 36° above the horizontal. The horizontal component of the dolphin's velocity is 9.0 m/s. Find the magnitude of the vertical component of the velocity. d.) A golf ball rolls off a horizontal cliff with an initial speed of 12.9 m/s. The ball falls a vertical distance of 15.5 m into a lake below. How much time does the ball spend in the air? Don't do this part, I...
6. An astronaut ona distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +15 m/s and measures a time of 20.0 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? See Diagram below: 20.0s v,15 m/s Show your work below: 7. Problem using vectors: A sailboat sails for 1 hr at 4 km/hr (relative to the...
1. A trained dolphin leaps from the water with an initial speed of 12.0 m/s. It jumps directly toward a ball held by the trainer a horizontal distance of 5.50 m away and a vertical distance of 4.10 m above the water. In the absence of gravity the dolphin would move in a straight line to the ball and catch it, but because of gravity the dolphin follows a parabolic path well below the ball's initial position. If the trainer...
A projectile is launched at an angle θ above the horizontal. Three seconds later the projectile is moving the same angle θ below the horizontal. Which of the following (actual values with units, not just algebraic symbols) can be found from the information given? a. the initial vertical component of the projectile’s velocity b. the initial horizontal component of the projectile’s velocity c. the initial magnitude of the velocity d. None of the above since at least one of the...
A baseball is thrown at an angle = 21° above the horizontal with an initial vertical velocity v0y = 9.75 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position.Part (a) Create an expression for the ball's initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ).Part (b) Calculate the initial horizontal velocity component, v0x in m/s. Part (c) Find the ball's initial velocity magnitude, v0 in m/s.
Firing a projectile at 25 m/s at an angle of 35 degree is similar to firing a projectile with a speed of straight up and horizontally. A projectile with a horizontal component of 13 m/s and a vertical component of 18 m/s would have an overall velocity of m/s at an angle of above the horizontal.
A dolphin in an aquatic show jumps straight up out of the water at a velocity of 14.3 m/s. The magnitude of the gravitational acceleration g = 9.8 m/s2 Take the water surface to be y0 = 0. Choose UPWARD as positive y direction. Keep 2 decimal places in all answers. (a) How high (what maximum height) in meters does his body rise above the water? To solve this part, first note that the body's final velocity at the maximum...
A projectile is launched at an initial angle ?0 above the horizontal from the edge of the top of a cliff that is 15 m high. It hits the ground below, at the level of the base of the cliff, 230 m from the cliff, after a flight time of 4.2 s. a) What was the initial horizontal component of the projectile’s velocity? b) What was the initial vertical component of the projectile’s velocity? c) What were the initial angle...
A bullet is fired at a certain velocity at an angle theta above the horizontal. The initial horizontal component is 86.6 m/s and the initial vertical component is 50.0 m/s. It is also fired off a cliff with height 20 m. What is the range as measured from the base of the cliff? 173.2 m B. 360 m C. 480 m D. 900 m E. 1200m Show work please