please help me answer the following problems

1

You throw a ball vertically upward, and as it leaves your hand, its speed is 27.0 m/s. (a) (b) (C) (d) How high (in m) does it rise above the level where it leaves your hand? :lx What is the initial velocity? What is the final velocity, when the ball is at the maximum height? What is the acceleration, and what is its direction? What constant-acceleration equation relates initial and final velocity to displacement and acceleration? rn How long (in s) does it take to reach its highest point? :lx What is the initial velocity? What is the final velocity, when the ball is at the maximum height? What is the acceleration, and what is its direction? What constant acceleration equation relates initial and final velocity to acceleration and time interval? 5 How long (in s) does the ball take to return to the level where it left your hand after it reaches its highest point? :lx Consider the initial point to be the maximum height. What is the initial velocity? What is the displacement and acceleration? Alternatively, consider the symmetry of the situation. How is the time to return to the starting point related to the time to reach the maximum height? 5 Assume that the upward direction is positive and the downward direction is negative. What is the ball's velocity (in m/s) when it returns to the level where it left your hand? (Indicate the direction with the sign of your answer.) :lx Consider the initial point to be the maximum height. What is the initial velocity? What is the acceleration, and how long does it take to fall back to the starting level? Alternatively, consider the symmetry of the situation. How is the velocity as the ball is thrown upward related to the velocity when it returns to the starting point? m/s A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 60.0 min at 50.0 km/h, 12.0 min at 65.0 km/h, and 60.0 min at 30.0 km/h and spends 30.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. 2.7 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. km/h (b) Determine the distance between the initial and final cities along the route. 34.4 X Your response differs from the correct answer by more than 10%. Double check your calculations. km Need Help? Read ItA woman stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of V0 = 19.5 m/s. The pebble leaves her hand at a height of h = 30.0 m above level ground at the bottom of the cliff, as shown in the gure. Note the coordinate system in the gure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. _. v (i) (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) x0 = 0 \\/ m y0 = 30 \\/ m (b) What are the components of the initial velocity? (Enter your answers in m/s.) VDX = \"9.5 l m/s VDy : '0 l\\/ m/s (c) Write the equations for the x- and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that VX and v are in m/s and t is in seconds. Do not include units in your answers.) V v = 19.5 m/s \\/ 9.8