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

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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 9P: A 3.00-kg block starts from rest at the top of a 30.0 incline and slides a distance of 2.00 m down...

See similar textbooks

Similar questions

A spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward acceleration of 1.0 m/s2 as it lifts off, what is the magnitude of the force exerted by the ship on its pilot, who weighs 735 N on Earth?
A person in a kayak starts paddling, and it accelerates from 0 to 0.8 mile/hour in adistance of 0.8km. If the combined mass of the person and the kayak is 80kg, whatis the magnitude of the net force acting on the kayak?
A 65-kg skydiver jumps out of an airplane and falls 320 m, reaching a maximum speed of 69 m/s before opening her parachute. Assuming the force of air resistance is constant, what is the magnitude of the force of air resistance, in newtons, on her?
A person is skiing in a horizontal snow surface with a net acceleration of 0.2 meters per second per second. If his weight is 72 kg and his coefficient of dynamic friction is 0.05, determine his normal force.
The velocities of a 3.0-kg object at t = 6.0 s and t = 8.0 s are (3.0i ^ − 6.0j ^ + 4.0k ^ ) m/s and (−2.0i ^ + 4.0k ^ ) m/s , respectively. If the object is moving at constant acceleration, what is the force acting on it?
A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the ground. Throughout the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball at time t (in seconds). After how many seconds will the ball impact the ground? Assume that the net force acting on the ball is modeled by m(dv/dt) = mg – kv, where m is the mass of the ball. Also, assume that there is no initial velocity and that the acceleration due to gravity g is 9.8 meters per second squared. Do not round off intermediate steps. Round off the final answer to two decimal places.
An object has a velocity (3.5 m/s)i + (-4.76 m/s)j + (4.68 m/s)k. In a time of 3.21 s its velocity becomes (-3.79 m/s)i + (0.00 m/s)j + (4.68 m/s)k. If the mass of the object is 6.4 kg, what is the magnitude of the net force on the object, in N, during the 3.21 s? Assume the acceleration is constant.
A dog and a sledge are on the frictionless ice of a frozen lake, 14.4 m apart but connected by a rope of negligible mass. The dog exerts a certain horizontal force (N) on the rope. If magnitudes of the sledge and the dog accelerations are 0.5 m/s² and 0.1 m/s?, respectively. How far from the dog's initial position (m) do they meet?
Two forces are applied to acar in an effort to move it,as shown in Figure P4.12.(a) What is the resultantvector of these two forces?(b) If the car has a mass of 3 000 kg, what accelera-tion does it have? Ignore friction. A block of mass m 5 5.8 kg ispulled up a u 5 25° inclineas in Figure P4.24 with aforce of magnitude F 5 32 N.(a) Find the acceleration of the block if the incline is fric-tionless. (b) Find the accel-eration of the block if the coefficient of kinetic frictionbetween the block and incline is 0.10.
You drive an automobile of mass 2.10 x 103 kg from sea level to the top of a mountain 2.05 km high. What is its change in weight?
A box with a mass of 5 kg accelerates its speed in a straight line, increasing it from 5 m/s to 8 m/s, due to the application of an external force acting for a duration of 2.0 s. Calculate the average strength of this force.
In a particle accelerator, a proton has mass 1.67 × 10−27 kg and an initial speed of 2.00 × 105 m/s. It moves in a straight line, and its speed increases to 9.00 × 105 m/s in a distance of 10.0 cm. Assume that the acceleration is constant. Find the magnitude of the force exerted on the proton.