1. A student stands at the edge of a cliff and throws a stone horizontally over

Question

1. A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.5 m/s. The cliff is h = 40.0 m above a flat, horizontal beach.

(a) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.)

vx =

vy =

(b) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.)

x =

y =

2. An ant crawls on the floor along the curved path shown in the figure below. (Assume that the ant's initial motion is parallel to the y-axis and its final motion is parallel to the x-axis.)

aav, x =

aav, y =  

Explanation / Answer

there is no horizontal force acting on stone so,

horizontal velocity will remain constant

vx = 15.5 m/s

gravitational force acting in vertical direction so,

by first equation of motion

v = u + at

v = 0 + 9.8 * t

v = 9.8t

vy = 9.8t

speed = distance / time

15.5 = x / t

x = 15.5 * t

by second equation of motion

s = ut + 0.5 * at^2

y = 0 + 0.5 * 9.8 * t^2

y = 4.9t^2

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