Calculus 21B problem. Need Help?
An object is shot straight upward from sea level with an initial veloticity of 400ft/sec.
a. Assuming that gravity is the only force acting on the object, give an upper estimate for its velocity after 5 sec have elapsed. Use g=32 ft/sec^2 for the gravitational acceleration.
b. Find a lower estimate for the height attained after 5 sec.
Please show work. Thank You.
There are exact formulas for what you have asked for.
a) V = V0 + g*t
So V = 400 + -32 * 5 = 400 – 160 = 340 ft/sec
b) s = s0 + v0*t + (1/2)*g*t^2
s = 0 + 400*5 – 16*25 = 2000 – 400 = 1600 ft
You do not state in your problem how you are to estimate these.
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