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Chapter 1: Q11E (page 93)

Crickets Chirpy and Milada jump from the top of a vertical cliff. Chirpy drops downward and reaches the ground in 2.70 s, while Milada jumps horizontally with an initial speed of 95.0 cm/s. How far from the base of the cliff will Milada hit the ground? Ignore air resistance

Short Answer

Expert verified

The distance of Milada from the base of cliff is 2.57 s.

Step by step solution

01

Identification of given data:

The given data can be listed below,

The time taken by chirpy to reach ground is tc=2.70 s.

The initial speed of Milada is, vi,m=95 cms.

02

Concept/Significance of the displacement

An object's total change in position is referred to as displacement, it is a vector variable that measures how far out of place an item is.

03

Determination the distance of the base of the cliff will Milada hit the ground:

The distance of Milada from the base of the cliff is given by,

x-x0=v0xt+12axt2

Here, v0xis the initial velocity of Milada, t is the time to reach the ground, and axis the horizontal component of acceleration whose value is zero.

Substitute all the values in the above expression.

x-x0=0.950m/s2.70s+1202.70s2=2.565+0=2.57sa

Thus, the distance of Milada from the base of the cliff is 2.57 s.

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