Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a way that the distance (in meters) traveled is given by f (t) = 10t2 for 0 ≤ t ≤ 1, where t is in seconds. find the velocity v 1 10 of the surfer at t = 1 10 sec.

The velocity at t=1/10s will be:

Explanation:

The distance in meter as a function of time is:

, for 0 ≤ t ≤ 1 where t is in seconds.

We need to find the velocity of the surfer at .

For this we can use the definition of instantaneus velocity (in it's limit form):

At , we have:

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answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.