A particle P projected from a point O on horizontal ground hits the ground after 2.4 seconds. The horizontal component of the initial velocity of P is 5/3 d ms-1 (a) Find, in terms of d, the horizontal distance of P from O when it hits the ground. (b) Find the vertical component of the initial velocity of P. P just clears a vertical wall which is situated at a horizontal distance d meter from O. (c) Find the height of the wall.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

A particle P projected from a point O on horizontal ground hits the ground after 2.4 seconds.
The horizontal component of the initial velocity of P is 5/3 d ms-1

(a) Find, in terms of d, the horizontal distance of P from O when it hits the ground.

(b) Find the vertical component of the initial velocity of P.

P just clears a vertical wall which is situated at a horizontal distance d meter from O.

(c) Find the height of the wall.

The speed of P as it passes over the wall is 16ms-1

(d) Find the value of d correct to 3 significant figures.

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