Question

11. Suppose that a ball thrown by a boy follows a path given by y =...

11. Suppose that a ball thrown by a boy follows a path given by y = −0.1x^2 + 1.6x, where x is the distance in feet from where the ball was thrown and y is the height of the ball above the ground. What is the maximum height the ball reaches?

(a) 8 feet

(b) 64 feet

(c) 1.7 feet

(d) 6.4 feet

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A ball is thrown across a playing field from a height of h = 5 ft...
A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function y= -(32/400)x^2+x+5 where x is the distance in feet that the ball has traveled horizontally. 1) Find the maximum height attained by the ball. (Round your answer to three...
A ball is thrown toward the east with an initial velocity of 15.0 m/s at 36.9°...
A ball is thrown toward the east with an initial velocity of 15.0 m/s at 36.9° above the horizontal. It is released from a height of X meters, and it lands on the level ground. 3. What is the velocity of the ball in component form, if x is east and y is up? 4. Where is the ball when it reaches its maximum height? (Give both x and y positions.) 5. When and where does the ball land? X=4...
Answer the following questions for the given problem: A ball is thrown up into the air....
Answer the following questions for the given problem: A ball is thrown up into the air. The ball’s height , h (in feet), from the ground is modeled by h(t) = -16t2 + 64t +5, where t is measured in seconds. Before answering these questions, think about the practical meaning of the vertex, y intercept and x intercepts, and how they apply to this problem. 1. What is the height of the ball at its highest point? 2. How many...
11. a ball is thrown up from the ground with an initial velocity of 120 feet...
11. a ball is thrown up from the ground with an initial velocity of 120 feet per second. The height s in feet can be expressed as a function of time t in seconds by s(t)=85t-16t^2 a. when does the ball reach its maximum height b. what is the maximum height c. when does the ball hit the ground 12. a farmer has 2800 feet of fencing material with which to enclose a rectangle field that borders a straight stream....
A ball is thrown with an initial speed vi at an angle θi with the horizontal....
A ball is thrown with an initial speed vi at an angle θi with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/8. In terms of R and g, find the following. (a) the time interval during which the ball is in motion t = ​ (b) the ball's speed at the peak of its path v = ​ (c) the initial vertical component of its velocity yi = ​ (d)...
A ball is thrown directly upward from the edge of a rock and travels such that...
A ball is thrown directly upward from the edge of a rock and travels such that after t seconds its height in feet above the ground is given by the equation s(t) =-2.5t^2+10t+2 1.Find the equation that represents the instant velocity v(t) of the ball on t time. 2.When does the ball has zero velocity? 3. What is the maximum height that the ball reaches? 4. When does the ball touches the surface of the Earth? 5. build the graph...
2. A ball is thrown straight upward from the window of a building 40 meters above...
2. A ball is thrown straight upward from the window of a building 40 meters above the ground with an initial velocity of 20 m/s. Calculate a. The speed of the ball after 1.5 sec. b. The time needed for ball to reach its maximum height. c. The maximum height. d. The time needed for the ball to return back to the same window which was thrown e. The time needed for the ball to reach the ground. f. Final...
A thrown object follows a path where at time t the position of the object is...
A thrown object follows a path where at time t the position of the object is given by r(t) = (3 + 90.63t)i + (−4.9t^2 + 42.26t + 5)j (a) What (x, y) point best descries the objects initial position? (b) If the initial velocity of the object was 100 m/s then what was the initial angle with respect to the positive horizontal axis? (c) What was the maximum height of the object?
A ball is thrown vertically upward from a height of 5 ft with an initial velocity...
A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 83 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 5 + 83t − 16t^2. (a) What is the velocity v, in feet per second, of the ball after 2 seconds? (b) When, in seconds, will the ball reach its maximum height? (Round your answer to one decimal place.) (c) What is...
A ball with mass 1/9.8 kg is thrown upward with initial velocity 20 m/s from the...
A ball with mass 1/9.8 kg is thrown upward with initial velocity 20 m/s from the roof of a building 30 m high. Assume that the force of air resistance (drag force) is (v^2)/1225. Find the maximum height above the ground that the ball reaches. (Hint: find the velocity v(t) first, then find the height x(t).)