An object falls under the influence of gravity near the earth’s surface. The hei

Question

An object falls under the influence of gravity near the earth’s surface. The height and 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.

pls explain clearly.thanks

Explanation / Answer

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

false. The distance that the object falls increases by unequally amounts in equal time intervals because accceleration due to gravity plays the role.

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

true. acceleration due to gravity is constant

v=u+gt ==>v increases linearly with time

c)The derivative of the velocity increases with time. false

The derivative of the velocity is acceleration. i.e, constant (9.8m/s2)

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