A soccer ball is punted from the ground at an angle of θ = 46 degrees with respect to the horizontal. The ball is in the air for a time tm = 1.9 s before it lands back on the ground. Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?

A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by  x = 17.2t  and  y = 4.16t − 4.90t2,  where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) =         m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector  as a function of time =          m/s(c) obtain the expression for the acceleration vector  as a function of time =          m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.18 s.   =         m   =         m/s   =         m/s2

ment Chapter 04, Problem 039 Your answer is partially correct. Try again. In the figure, a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.80 s later, at distanced = 26.0 m from the building and at angle 0 = 56.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)? (a) NumberT32.3 Units (b) NumberÍ Units m/s 21.9 (c) Number 40.4 Units (degrees) Click if you would like to Show Work for this question: Open Show Work Privacy PolicY. I 2000-2021 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, In e to search 99+

A cannonball is launched from the top of a flat mountainside, which slopes upwards at35 degrees with respect to the horizontal. The cannonball exits the cannon moving at150 m/s, at an angle of 55 degrees with respect to the horizontal.a) How much time (in seconds) elapses between the moment the cannonball isfired and the moment it lands on the mountainside.b) How far down the mountainside (in meters) does the cannonball land?

The position vector 4.70t|i+ [et + ft2 locates a particle as a function of time t. Vector is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle e of the particle's direction of travel as a function of time (0 is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? 20° 0° 10 20 -20° t (s) (a) Number Units (b) Number Units

A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by  x = 17.0t  and  y = 4.20t − 4.90t2,  where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) =          m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector  as a function of time =          m/s(c) obtain the expression for the acceleration vector  as a function of time =          m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.24 s.   =         m   =         m/s   =         m/s2

An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.

A rocket is launched at ground level with an initial speed of 189 ft/s, at an angle of 34° above the horizontal. It strikes a mark above the ground 2.4 seconds later.What is the vertical distance, in feet, from where the rocket was launched to where it lands?

The acceleration of a particle moving only on a horizontal xy plane is given by a = 611 +71), where a is in meters per second- squared and t is in seconds. At t = 0, the position vector 7= (23.0m)i + (45.0m) locates the paticle, which then has the velocity vector 7 = (6.40m/s) + (2.60m/s)). At t - 3,40s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis?

During a baseball game the ball is hit at home base 1 meter above ground level with a bat. After having traveled a horizontal distance of 30 m, it is 20 m above ground level. An outfielder runs to meet the ball and catches it as he dives, just 10 cm from the ground. The outfielder is 80 m away from home base when he catches the ball. Assuming the path of the ball is approximately parabolic, what is the greatest height the ball reaches?