Assume that the force of air resistance is proportional to the instantaneous speed of the toy, which takes 3 s to hit the ground. If the acceleration due to gravity is considered to be 9.8 m/s2.Determine the position of the toy at any time t, with t in seconds. "(t) +5ar'(t) = 9,8 r(0) = 0 r'(0) = 0 r(3) 20 %3D
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- In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of 25.00 m/s? as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long?A basketball player jumps straight up for a ball. To do this, he lowers his body 0.280 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.880 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.280 m. (Enter a number.) m/s2 (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 120 kg. (Enter a number.) N
- Suppose an object on the moon is thrown from a height of h = 100 m with velocity v = 5 m/s (upward). The acceleration due to gravity on the moon is a = -1.62 m/s². (a) Find the velocity and position of the object as functions of time. (b) How high will the object get? (c) How long will it take the object to hit the ground? (d) How fast will the object be moving when it hits the ground? (e) Convert your answer from part (d) to miles per hour.A basketball player jumps straight up for a ball. To do this, he lowers his body 0.310 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.980 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.310 m. (Enter a number.) m/s² (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 102 kg. (Enter a number.) N + Submit AnswerA basketball player jumps straight up for a ball. To do this, he lowers his body 0.320 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.880 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.320 m. (Enter a number.) m/s2 (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 108 kg. (Enter a number.)
- A basketball player jumps straight up for a ball. To do this, he lowers his body 0.350 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.980 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s²) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.350 m. (Enter a number.) m/s? (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 108 kg. (Enter a number.)A basketball player jumps straight up for a ball. To do this, he lowers his body 0.330 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.840 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.330 m. (Enter al number.) m/s² (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 118 kg. (Enter a number.) NAn object is thrown upward with an initial velocity of 17.3 m/s from a location where the acceleration due to gravity has magnitude g = 9.79 m/s². Assuming it moves in "free fall", the object moves upward what distance before starting to return downward? Give your answer, in meters, with appropriate significant figures.
- Superman starting from rest has an acceleration of 10m/s2 up. He makes it 127m into theair before he’s exposed to kryptonite and is only under the influence of gravity.(a) How long after take off is Superman exposed to kryptonite?(b) What is Superman’s velocity when he is exposed to the kryptonite?(c) What is the maximum height Superman reaches?(d) What is the total amount of time Superman is in the air?The acceleration of gravity at the surface of mars is 3.7 m/s^2. A stone is thrown upward and reaches a height of 15 m. What is the total time of flight.The tallest tree in a California national park is 112 m tall. Suppose that a ball is thrown downward from the top of that tree with a certain initial velocity. As the ball accelerates due to gravity (-9.81 m/s/s), it takes 3.856 s to hit the ground. With what initial velocity was the ball thrown toward the ground? (Hint: note the direction of the ball's drop when considering its displacement)