estion 5: Determine the maximum height and range of a projectile fred horzontally at a heidht above the ground with an initial speed of 900 feet per socond. Please consider g -s2feet of 256...
A projectile is launched at a height of 8ft. on the ground with an initial speed of 400 feet per second and an angle of 45 ^ 0 with the horizontal. Use the model of motion of a projectile that does not consider air resistance and determine: (30 pts) The vector function that describes the position of the projectile Parametric equations that describe motion The time the projectile used to climb The maximum height Flight time The maximum horizontal range...
Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second. Determine the maximum height and range of a projectile fired at a height of 4 feet above the ground with an initial speed of 400 feet per second and at an angle of 45° above the horizontal. (Round your answers to three decimal places.) maximum height _______ ft maximum range _______ ft
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...
With steps please
A projectile is fired from ground level with an initial speed of 55.6 m/s at an angle of 41.2 above the horizontal. (a) Determine the time necessary for the projectile to reach its maximum height. (b) Determine the maximum height reached by the projectile. (c) Determine the horizontal and vertical components of the velocity vector at the maximum height. (d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.
A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air? resistance, its height in feet t seconds after launch is given by s equals negative 16 t squared plus v 0 t. Find the? time(s) that the projectile will? (a) reach a height of 80 ft and? (b) return to the ground when v 0 is 32 feet per second. ?(a) Find the? time(s) that the projectile will reach a height...
A projectile is fired upward from the ground with an initial velocity of 760 feet per second. Assume that the height of the projectile at any time t can be described by the polynomial function PO = - 161? + 7601. Answer parts (a) through (1) a. What is the height of the projectile at t= 3 seconds? b. What is the height of the projectile at t= 6 seconds? ft c. What is the height of the projectile att...
Use the model for projectile motion, assuming there is no air resistance and g = 32 feet per second per second. A baseball player at second base throws a ball 90 feet to the player at first base. The ball is released at a point 5 feet above the ground with an initial speed of 60 miles per hour and at an angle of 11° above the horizontal. At what height does the player at first base catch the ball? (Round...
The maximum height above the ground for a gymnast jumping straight upward with an initial speed of 5 m/s is O a. d) None of the above lon O bc) 5 m Ocb) 2.5 m O d. a) 1.25 m
A projectile is fired with an initial speed of 250 m/s and angle of elevation 60°. The projectile is fired from a position 100 m above the ground. (Recall g ≈ 9.8 m/s2. Round your answers to the nearest whole number.) (a) Find the range of the projectile. (b) Find the maximum height reached. (c) Find the speed at impact.
36. A math book is lobbed from a height of 4 feet above the ground at an angle of 45" to the horizontal with an initial speed of 20 feet per second. Students in a physics class determined that the path of the book is 202 + +x+4 where x is the distance in feet that the ball has traveled and y is the height of the book above the ground. a. Find the horizontal distance the book has traveled...