A 9 kg object starting from rest falls through a viscous medium and experiences a resistive force R = −b v, where v is the velocity of the object. The acceleration of gravity is 9.8 m/s^2. a) If the object’s speed reaches one-half its terminal speed in 5.24s, determine the terminal speed. Answer in units of m/s. b) At what time is the speed of the object threefourths the terminal speed? Answer in units of s. c) How far has the object traveled in the first 5.24s of motion? Answer in units of m.

A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall between t=0.3s and t = 1.4 s? Use Galileo's formula u(t) = 32t fus. Answer: ft.

Planet X was just discovered orbitinga nearby star! It orbits a start that is 6.9 times themass of our sun in a solar system just 31.3 light-years away. The acceleration due to gravity thereis 0.07 g. After making some measurements in lab, you start to daydream about travel to other planets. Your spring gun can launch a projectile with a speed of 3.7 m/s. What would happen if you were tolaunch a projectile at an angle of 32 ° abovehorizontal on Planet X? (a) What maximum height would the projectilereach?(b) How far would the projectile travel before ithit the ground? Assume the projectile lands at the same height it was launched from.

Starting at time t = 0, an object moves along a straight line with velocity in m/s given byv(t) = 98 – 2t^2, where t is in seconds. When it momentarily stops its acceleration is: