A ball has a velocity vector V with components of Vx=2.40 m/s and Vy= - 1.70 m/s. (a) What is the speed of the ball? (b) When is the ball at 10.0 m on the X axis? (c) When the ball has position of 10.0 meters on the X-axis, what is the position on the Y-axis?

A golf ball is hit upward, with an initial velocity of 47 meters per second, at an angle of 25° with respect to the horizontal. The ball is hit from a height of 8 meters above the ground.   The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below.   x=(v0cosθ)t y=−4.9t^2+(v0sinθ)t+h Here v0 is the initial velocity, θ is the initial angle with respect to the horizontal, and h is the initial height.   Use the equations to answer the following questions.   (a)How long is the ball in the air before it first touches the ground?Do not round any intermediate computations. Round your answer to the nearest hundredth. _____ seconds (b)What is the horizontal distance the ball travels before it first touches the ground?Round your answer to the nearest whole number. _____ meters

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0     m y0     m (b) What are the components of the initial velocity? v0x     m/s v0y     m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx   vy   (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x   y   (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf    m/s θ…

An archer shoots an arrow at a 40 degrees angle to the horizontal. At the top of its motion, the arrow just clears a 67 m high oak tree. How fast was the arrow going when it left the bow? (Assume it was shot from a height of 1.0 m above the ground.) How far away is the archer from the tree?

An archer on the roof of a tower shoots an arrow at a bird in flight. The arrow travels at 255 m/s. The bird is directly across from the archer at a distance of 90.0 m. The archer misses. If the tower is 200 m tall and if we assume the cow is at ground level, will his stray arrow hit the cow? (The cow is 145 m away from the tower.)

The position r of a particle moving in an xy plane is given by ř seconds. In unit-vector notation, calculate (a) 7, (b) V , and (c) a for t = 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (4.00r3 – 1.00t)î + (5.00 – 1.00r4)j with 7 in meters and t in (a) Number i i Units (b) Number ît i Units i (c) Number i i Units (d) Number i Units