A student wishes to toss a small object straight upward so that it comes to rest…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

A student wishes to toss a small object straight upward so that it comes to rest exactly at the level of a window ledge that is a vertical distance

h

above the release point. Air resistance can be ignored, and the acceleration due to gravity has magnitude

g=9.8\,\text{m/s}^2

. (a) Derive an algebraic expression for the required initial speed

v_0

in terms of

g

and

h

so that the object stops momentarily at the ledge height. (b) Use your expression from part (a) to calculate

v_0

when

h=10\,\text{m}

. (c) For

h=10\,\text{m}

, determine the total time interval between release and arrival at the ledge. (d) Suppose the actual initial speed is

15\%

greater than the value found in part (b). Find the object’s speed as it reaches the ledge under these circumstances.