17. A baseball was launched from a pitching machine that was placed on a platform The...
roblem 1 angle of 40o The pitching machine is adjusted so that the baseball is launched with a speed of vA- 30 m/s at an initial (a) Determine the time it takes for the ball to strike the ground at B (b) Determine the velocity of the baseball whenit strikes the ground at B. [Hint: Determine its horizontal and vertical velocity components first.] (c) Determine the distance R between the pitching machine and point B 30 m/s A 40° 1.2...
Consider a projectile launched at a height h feet above the ground and at an angle θ with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(θ)) and y = h + (v0 sin(θ))t − 16t2. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 2 feet above the...
A baseball is hit by the batter when the ball is 2.5 feet above the ground. The ball leaves the bat with a velocity of 85 miles per hour at an angle of 50° above the horizontal. a. What is the maximum height of the baseball? b. When does the baseball reached its maximum height? c. If the ball does not hit anything, how many seconds is the ball in the air? d. If the ball does not hit anything,...
An object is thrown upward at a speed of 161 feet per second by a machine from a height of 8 feet off the ground. The height h of the object after t seconds can be found using the equation h(t) = 16t2 + 161t + 8 When will the height be 67 feet? (Write both results, using a comma between). Round answers to the nearest hundredth. Select an answer Select an answer ict reach the ground? seconds 1 answer...
3. A baseball is projected upward form the top of 448 foot tall bulding with an initial velocity of 48 feet per second. The distance s of the baseball from the ground at any time t, in seconds, is glven by the equation s-16r2 +48t+448 How long will it take the ball to hit the ground? a. b. How high will the ball be in 6 seconds? When will the ball be 448 feet in the air? c. d. If...
A person on a platform above the ground throws a ball upward at 6 feet per second. It takes 3 seconds for the ball to reach the ground below the platform. Determine the platform height above the ground. Also determine the balls speed as it strikes the ground. Assume the ball was released at the level of the platform A person on a platform above the ground throws a ball upward at 6 feet per second. It takes 3 seconds...
i need help please 8.8.47 A rocket is launched from the top of an 8-ft platform. Its initial velocity is 144 ft per sec. It is launched at an angle of 60 with respect to the ground, (a) Find the rectangular equation that models its path. What type of path does the rocket follow? (b) Determine the total flight time and the horizontal distance the rocket travels. (a) Using y to indicate the height of the rocket and x to...
A toy rocket is launched upward with an initial velocity of 64ft/s from a platform that is 80ft. above the ground. The acceleration of the rocket is a(t) = -32ft. Find the height of the rocket after t seconds. When does it hit the ground? Use calculus methods to solve the problem.
40 ft CL 5 ft A baseball pitching machine "throws" baseballs with a horizontal velocity V.. If you want the height h to be 42 in. (3.5 ft), determine the value of V.
A projectile is launched straight up from ground level with an initial velocity of v0 per sec. Neglecting air resistance, its height in feet, s, after t seconds after launch is given by the equation s = –16t2 + v0t. At what time(s) will the projectile reach a height of 112 feet when v0 = 96 feet/sec? After how many seconds will it return to the ground when v0 = 96 feet/sec?