Velocity If a stone is thrown down at 120 ft/sec from a height of 1,000 feet, its height s in feet. a. Compute s ′ ( t ) , and hence find the stone’s velocity at times t = 0 , 1 , 2 , 3 , and4 seconds. b. When does the stone reach the ground, and how fast is it travelling when it hits the ground? [ HINT: It reaches the ground when s ( t ) = 0. ]
Velocity If a stone is thrown down at 120 ft/sec from a height of 1,000 feet, its height s in feet. a. Compute s ′ ( t ) , and hence find the stone’s velocity at times t = 0 , 1 , 2 , 3 , and4 seconds. b. When does the stone reach the ground, and how fast is it travelling when it hits the ground? [ HINT: It reaches the ground when s ( t ) = 0. ]
Solution Summary: The author calculates the derivative s'(t) and finds the stone's velocity at t=0,1,2,3, and4 seconds.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Chapter 4 Solutions
Student Solutions Manual for Waner/Costenoble's Applied Calculus, 7th
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