The angle of the ramp is changed such that it is larger than theta but less than 90 degrees while the height of the ramp remains the same. h. How would the maximum height of the box compare to the original scenario in which the ramp angle was equal to theta? Justify your answer. i. Would the slope of the graph of vertical velocity as a function of time shown above be different for this scenario in which the box is launched from a larger angle? Justify your response.

The angle of the ramp is changed such that it is larger than theta but less than 90 degrees while the height of the ramp remains the same. h. How would the maximum height of the box compare to the original scenario in which the ramp angle was equal to theta? Justify your answer. i. Would the slope of the graph of vertical velocity as a function of time shown above be different for this scenario in which the box is launched from a larger angle? Justify your response.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 44P: A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the...

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A/1) In projectiles, why does a particle reach a velocity of zero? And at what height? Prove it mathematically. Assume that we have an ideal conditions of motion. Take the initial velocity of launching to be v at angle θ from the ground as shown in figure. A/2) One day, you were driving a car at a speed of 73.2 km/h and your eyes closed suddenly for a 0.4 sec. How far does the car move during that time in minutes? Note: Please answer sections A and B
A rock is thrown upward from level ground in such a way that the maximum height of its flight, ymax, is equal to its horizontal distance d it travels before landing. (a) At what angle theta is the rock thrown? (b) Would your answer to part (a) be different on a different planet? Why? Hint for part (a): Make a sketch. Write out separate equations for vertical and horizontal motion, introducing a time variable. Relate the two equations to solve for theta.
a) What is the function expressing the altitude (vertical position) of the key if the altitude measured by GPS when you drop the key (at the top) is 1,500 m? b)If the key arrives at the bottom of the cliff with an (absolute) speed of 15.2 m/s, what is the height of the cliff (the difference between the altitude at the start and at the finish)?
A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x -direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) What is its location in polar coordinates?
Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. If we ignore air resistance, the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle θ above the horizontal at which it is thrown. Use the accompanying table and the equations below to estimate the partial derivatives. fx(x0,y0)= limΔ⁢x→0f(x0+Δ⁢x,y0)-f(x0,y0)Δ⁢x; fy(x0,y0) =limΔ⁢y→0f(x0,y0+Δ⁢y)-f(x0,y0)Δ⁢y Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer.(a) Estimate the partial derivative of r with respect to v when v=80ft/s and θ=45∘.
Leila is in a bicycle road race. In the first leg, she rides 12km from Hague Park to Bluffer’s Park Beach. Thenshe turns and rides 17km to Ontario Science Centre, making a 74° angle from the first leg. Then, the final turnleads her back to Hague Park. a. What is the total length of the race, to the nearest kilometre? b. At what angles are the three locations situated with respect to each other?
A baseball pitcher throws a pitch horizontally from a height of 6 feet with an initial speed of 130 feet per second. (a) Find a vector-valued function describing the position of the ball t seconds after release. (b) If home plate is 60 feet away, how high is the ball when it crosses home plate? (c) If a person drops a ball from height 6 feet at the same time the pitcher releases the ball, how high will the dropped ball be when the pitch crosses home plate?
a) Describe the particle’s motion for example below when t = 1 s, t = 2 s, t = 3 s, and t = 4 s. b) Draw the five stages of the particle’s motion from t = 0 relative to a frame of reference.
Determine the magnitude of the vertical reaction (N) at A if P = 355 N and Q = 2100 N. Let x = 2.45 m, y = 2.56 m, and z = 2.06 m. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the horizontal reaction at A: use R if to the right and L if to the left.
(a) Using the information in the previous problem, what velocity do you need to escape the Milky Way galaxy from our present position? (b) Would you need to accelerate a spaceship to this speed relative to Earth?
The graph shown below represents two particles’ motions along x direction. a) What is the overall displacement Δx of each particle over the 50.0 s time interval? b) What is the average velocity vav of each particle over the 50.0 s time interval? c) When & where do they meet? Which particle moves faster when they meet? Explain.
After James is done with the bacteria experiment, he sees Kevin in the distance, he begins to run and notices that Kevin is on the edge of a cliff taunting him. You see, there Kevin is at the top of one cliff, while James is at the top of a lower one. If the Kevin is 5m above and 7m away. a) How fast and at what angle would James have to jump to get to the other side? b) What would be his time of flight? (SHOW ALL WORK, UNITS AND FORMULAS USED