(1 point) A water balloon of mass 480 grams is launched with an initial (horizontal) velocity of 34 meters per second. As it travels, water leaks from the balloon at a rate of 125 grams per secon...
(1 point) A water balloon of mass 380 grams is launched with an initial (horizontal) velocity of 43 meters per second. As it travels, water leaks from the balloon at a rate of 60 grams per second. Assume air resistance is proportional to velocity with coefficient 5 grams per second. Again, because the motion is horizontal, ignore any effect due to gravity (a) Find the velocity of the balloon as a function of time. v(t) (b) What is the furthest...
(1 point) A water balloon of mass 380 grams is launched with an initial (horizontal) velocity of 43 meters per second. As it travels, water leaks from the balloon at a rate of 60 grams per second. Assume air resistance is proportional to velocity with coefficient 5 grams per second. Again, because the motion is horizontal, ignore any effect due to gravity (a) Find the velocity of the balloon as a function of time. v(t) (b) What is the furthest...
At least one of the answers above is NOT correct. (1 point) A water balloon of mass 480 grams is launched with an initial (vertical) velocity of 34 meters per second. Assume air resistance is proportional to velocity with coefficient 69 grams per second, and use 9.81 meters per second squared for the acceleration due to gravity (a) Find the height of the balloon as a function of time. (-6824348e^(0.1 4375t)+34.24348)/en(0.1 437: (b) What is the terminal velocity of the...
please help with part b Entered Answer Preview Result 34 Tex(-0.143750] 34e 0.14375'correct 300 300 incorrect At least one of the answers above is NOT correct. (1 point) A water balloon of mass 480 grams is launched with an initial (horizontal) velocity of 34 meters per second. Assume air resistance is proportional to velocity with coefficient 69 grams per second, and ignore any effect due to gravity. (a) Find the velocity of the balloon as a function of time. v(t)...
(1 point) A water balloon of mass 380 grams is launched with an initial (vertical) velocity of 43 meters per second. Assume air resistance is proportional to velocity with coefficient 5 grams per second, and use 9.81 meters per second squared for the acceleration due to gravity. (a) Find the height of the balloon as a function of time. h(t) = (b) What is the terminal velocity of the balloon? (Enter your answer as a positive velocity.) The terminal velocity...
(1 point) A beach ball of mass 530 grams is rolled on level ground with an initial velocity of 26 meters per second. Assume air resistance is proportional to velocity with coefficient 18 grams per second. (a) Find the velocity of the ball as a function of time. v(t) = (b) What is the furthest distance the ball could travel? Total distance = meters
If a projectile is fired with an initial velocity of v0 meters per second at an angle α above the horizontal, and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equationsx=(v0 cos α) t y=(v0 sin α) t-1/2 g t2where g is the acceleration due to gravity (9.8 m / s2)(a) If a projectile is fired with α=45° and v0=900 m / s, when will it hit the ground? How...
A student throws a water balloon with speed vo from a height h = 1.52 m at an angle θ=39° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 7.5 m from the student's feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. Part (a) what is the position vector, Rtarget that originates from the balloon's original position and...