5. A Green projectile has an initial velocity of 20.0 m/s at an angle of 35.0° with respect to the x-direction and is initially at ground level. a) A Blue object is initially at ground level, 15.0 meters in front of the Green object. If it is launched straight upward at the same time the Green projectile is launched, what should its initially velocity be if it is to collide with the Green object? Let the Blue object be traveling upward when they collide. b) What is the velocity of the Blue object as it collides with the Green projectile? d) If the Blue object actually had an initial velocity of 50 m/s j, how long before the Green projectile is launched should the Blue object be launched if they are to collide? Let the Blue object be traveling downward when they collide. Vi=50ml

5. A Green projectile has an initial velocity of 20.0 m/s at an angle of 35.0° with respect to the x-direction and is initially at ground level. a) A Blue object is initially at ground level, 15.0 meters in front of the Green object. If it is launched straight upward at the same time the Green projectile is launched, what should its initially velocity be if it is to collide with the Green object? Let the Blue object be traveling upward when they collide. b) What is the velocity of the Blue object as it collides with the Green projectile? d) If the Blue object actually had an initial velocity of 50 m/s j, how long before the Green projectile is launched should the Blue object be launched if they are to collide? Let the Blue object be traveling downward when they collide. Vi=50ml

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 47PE: A football player punts the ball at a 45.0° angle. Without an effect from the wind, the ball would...

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A football player punts the ball at a 45.0° angle. Without an effect from the wind, the ball would travel 60.0 m horizontally. (a) What is the initial speed of the ball? (b) When the ball is near its maximum height it experiences a brief gust of wind that reduces its horizontal velocity by 1.50 m/s. What distance does the ball travel horizontally?
A basketball player is running at 5.00 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (a) What vertical velocity does he need to rise 0.750 m above the floor? (b) How far from the basket (measured in the horizontal direction) must he start his jump to reach his maximum height at the same time as he reaches the basket?
Prove that the trajectory of a projectile is parabolic, having the form y=ax+bx2. To obtain this expression, solve the equation x=v0xt for t and substitute it into the expression for y=v0yt(1/2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y=ax+bx2 where a and b are constants.
A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large, (b) It is the same, (c) It is V5 limes larger, (d) It is 6 times larger, (e) It is 6limes larger.
A batter hits a fly ball which leaves the bat 0.90 m above the ground at an angle of 61° with an initial speed of 28m/s heading toward centerfield. Ignore air resistance.(a) How far from home plate would the ball land if notcaught? (b) The ball is caught by the centerfielder who,starting at a distance of 105 m from home plate just as the ballwas hit, runs straight toward home plate at a constant speedand makes the catch at ground level. Find his speed.
3. A player kicks a football at an angle of 35° with the horizontal and with an initial velocity of 14.8 m/s. A second player standing at a distance of 26.0 m from the first player in the direction of the kick starts running to meet the ball at the instant it is kicked. (a) At what rate should the second player accelerate to catch the ball? (b) What would be the speed of the second player upon catching the ball?
A second baseman tosses the ball to the first baseman, who catchesit at the same level from which it was thrown. The throw is made withan initial speed of 18.0 m>s at an angle of 37.5° above the horizontal. (a) What is the horizontal component of the ball’s velocity justbefore it is caught? (b) For what amount of time is the ball in the air?
With an initial velocity of 14m/s, and basketball is shot from an initial height of 2.4 m and initial angle of 38 degrees.thw basket is 3.658 m above ground. If the ball is thrown to the basket under these conditions. a) how far is the basket from the player? b) At what angle did the ball enter the basket?
(II) You buy a plastic dart gun, and being a clever physicsstudent you decide to do a quick calculation to find itsmaximum horizontal range. You shoot the gun straight up,and it takes 4.0 s for the dart to land back at the barrel.What is the maximum horizontal range of your gun?
(II) A projectile is fired with an initial speed of 36.6 m/sat an angle of 42.2° above the horizontal on a long flatfiring range. Determine (a) the maximum height reachedby the projectile, (b) the total time in the air, (c) the totalhorizontal distance covered (that is, the range), and (d) thespeed of the projectile 1.50 s after firing.
1.A projectile is fired from ground level at an angle of 54 ∘∘ above the horizontal with an initial speed of 35 m/sm/s . A) What is the magnitude of its instantaneous velocity at the moment it is fired? B)What is the direction (relative to horizontal) of its instantaneous velocity at the moment it is fired? C) What is the magnitude of its instantaneous velocity the moment it reaches its maximum height? D) What is the direction (relative to horizontal) of its instantaneous velocity the moment it reaches its maximum height? E) What is the magnitude of its instantaneous velocity the moment before it hits the ground? F) What is the direction (relative to horizontal) of its instantaneous velocity the moment before it hits the ground?
A football player punts the ball at a 45.0º angle. Withoutan effect from the wind, the ball would travel 60.0 mhorizontally. (a) What is the initial speed of the ball? (b) Whenthe ball is near its maximum height it experiences a brief gustof wind that reduces its horizontal velocity by 1.50 m/s. Whatdistance does the ball travel horizontally?