(1 point) A water balloon of mass 380 grams is launched with an initial (vertical) velocity...
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...
(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...
(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 second. Assume air resistance is proportional to velocity with coefficient 69 grams peir 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...
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 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
A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 190 meters per second. If the air resistance is assumed to be directly proportional to the speed of the cannonball, a differential equation modeling the projectile velocity is du т = mg – kv dt Assume that k = 0.0025, and use g = - 10 meters/second2. Solve the differential equation for the velocity v(t). Don't forget to include the initial condition. v(t) =...
A shill of mass 5ko is shot upward with an initial velocity of 150 misec. The magnitude of the farce on the shell due to air resistance is 20 Whan will h shell rach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s When will the shell reach its maximum height above the ground? The shell will reach maximum height after seconds. Round to two decimal places as...
A girl of mass m1=60.0 kilograms springs from a trampoline with an initial upward velocity of vi=8.00 meters per second. At height h=2.00 meters above the trampoline, the girl grabs a box of mass m2=15.0 kilograms. (Figure 1) For this problem, use g=9.80 meters per second per second for the magnitude of the acceleration due to gravity. A girl of mass m1=60.0 kilograms springs from a trampoline with an initial upward velocity of vi=8.00meters per second. At height h=2.00 meters...
A raindrop with initial mass 'M', from rest begins to fall due to gravity. The drop gains mass due to the cloud, which is proportional to its mass and velocity: where 'k' is a constant. a) Show that the rain drops acceleration follows the case when the air resistance is given by: . b) Even though we are not assuming air resistance, what is the terminal velocity? We were unable to transcribe this imageC2U