Question
Suppose you throw an object from a great height, so that it reaches very nearly terminal velocity by time it hits the ground. By measuring the impact, you determine that this terminal velocity is -49 m/sec.
A. Write the equation representing the velocity v(t) of the object at time t seconds given the initial velocity v sub 0 and the fact that acceleration due to gravity is -9.8 m/sec^2.
B. Determine the value of k, the "continuous percentage growth rate" from the velocity equation, by utilizing the information given concerning the terminal velocity.
C. Using the value of k you derived above, at what velocity must the object be thrown upward if you want it to reach its peak height after 3 sec?
A. Write the equation representing the velocity v(t) of the object at time t seconds given the initial velocity v sub 0 and the fact that acceleration due to gravity is -9.8 m/sec^2.
B. Determine the value of k, the "continuous percentage growth rate" from the velocity equation, by utilizing the information given concerning the terminal velocity.
C. Using the value of k you derived above, at what velocity must the object be thrown upward if you want it to reach its peak height after 3 sec?
Answers
v(t) = v<sub>0</sub> - 9.8t
see what you can do with that...
see what you can do with that...
Related Questions
A 9.00 kg object starting from rest falls through a viscous medium and experiences a resistive force...
A certain 0.92 kg object will reach terminal velocity after 0.75 seconds. What is the speed of its t...
Suppose you can throw a ball a maximum horizontal distance L when standing on level ground. How far...