Applications: Integration
Integration
A rock is thrown upwards off a cliff and lands in the ocean below. The velocity of the rock is measured in#\unit{}{m/s}# and is given by the following function:
\[v(t) = -10 t + 14 \] where #t# is measured in seconds.
After precisely #2# seconds, the rock is exactly #78# metres above the water.
Determine the function #h(t)# for the height of the rock above the water in terms of time #t#.
\[v(t) = -10 t + 14 \] where #t# is measured in seconds.
After precisely #2# seconds, the rock is exactly #78# metres above the water.
Determine the function #h(t)# for the height of the rock above the water in terms of time #t#.
#h(t) = # |
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