An object falls under the in uence of gravity near the earth\'s surface. The hei

Question

An object falls under the in uence of gravity near the earth's surface. The heightand velocity of the object are determined by Galileo's formulas, as presented in the text or in class. In particular, we shall ignore all air resistance. Determine which of the following statements are true or false and justify your answers.

(a) The distance that the object falls increases by equal amounts in equal time intervals.

(b)The velocity of the object (in absolute value) increases by equal amounts in equal time

intervals.

(c)The derivative of the velocity increases with time

Explanation / Answer

(a) true

(b) true

(c) false

reason::

since no air resistance exist there

so

v-t graph is a straight line

means derivative of velocity is constant , so

part (c) is false

and since it is constant , so it will increase in equal amount in equal time interval,

so,

part (b) is true

so, is part (a) also true.

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