8) The height of a projectile moving vertically is given by the table, where t is...
P. The horizontal distance of a projectile (in feet) is given by x (vo cos e)t, and the height of the projectile is given by y = -16t2 + (vo sin 0)t + yo where vo is the initial velocity, e is the angle of inclination, and yo is the initial height. Suppose an object is propelled upward from the ground at an angle e to the horizontal with an initial velocity of vo ft/sec. a. Find a formula for...
Fill in the Blanks A golf ball is projected upward from ground level at an initial velocity of 112 ft/sec. The height of a projectile can be modeled by s(t) = -16t+ vot + So, where t is time in seconds, So is the initial height in feet, and Vo is the initial velocity in ft/sec. a. How high will the ball be after 2 sec? O feet b. What is the maximum height the ball reaches? O feet c....
34. Height of a Projectile If a rocket is fired vertically into the air with a speed of 240 feet per second, its height at timet seconds is given by h(t) = -16+ 240t. At what time(s) will the rocket be the following number of feet above the ground? a. 704 feet b. 896 feet c. Why do parts a and b each have two answers? d. How long will the rocket be in the air? (Hint: How high is...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
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...
One real-world example of a degree-two polynomial is the projectile motion equation used in physics: hC)t+vot tho For example, if you hit a baseball at shoulder height (say about 4ft,6 inches -ho 4.5ft , you may have an initial velocity of around vo-89.5mph The force of gravity is about a2 We can convert our miles to hour to feet per second (89.5 mph - 131.3 ft/s) and 32ft create an equation that would model the height of the ball at...
At moment of time t=0 a projectile is fired directly upward with an initial velocity 192 ft/sec, and initial height 200 ft. Find: a)velocity and acceleration after t seconds, (b) velocity when projectile hits the ground, (c) time of travel from the highest point to the ground. Equation of motion is h"= -32, where h(t) is the height of projectile at moment t.
Can you please help me with these 3 questions. 1. Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h = 148t − 16t2. What is that maximum height? 2. Find a polynomial function with the given zeros. 6, −2, 0 3. Let P(x) = 5x3 + 4x2 − x + 2. Use synthetic division to find the value. P(−2) thank you
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=104t-16t^2 .After how long will it reach its maximum height? Do not round your answer.
in projectile motion problems where the projectile height h is modeled bythe equation h=-16t²+vt+s, where t is the time in seconds the objecthas been in the air, v is the initial vertical velocity in feet per second, and s isthe initial height in feet. The -16 coefficient in front of the t² term refers tothe effect of gravity on the object.A baseball field is next to a building that is 130 feet tall.A series of batters hit pitched balls into...