Application of Differentiation to Motion LA missile is launched vertically upwards from the ground. At a time t seconds after launch, its height, x metres, above the ground is given by the formula x = 24.5t – 4.5t². You are required to find the initial velocity of the missile and its velocity on impact (when it hits the gro dx Firstly, differentiate: dt Initial velocity, in metres per second, is: Round your answer to 3 decimal places.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
Application of Differentiation to Motion
A missile is launched vertically upwards from the ground.
At a time t seconds after launch, its height, x metres, above the ground is given by the formula
x = 24.5t – 4.5t².
You are required to find the initial velocity of the missile and its velocity on impact (when it hits the ground).
d.x
Firstly, differentiate:
dt
Initial velocity, in metres per second, is:
Round your answer to 3 decimal places.
Time it returns to ground, in seconds, is:
Round your answer to 3 decimal places.
Velocity on impact, in metres per second, is:
Round your answer to 2 decimal places.
Transcribed Image Text:Application of Differentiation to Motion A missile is launched vertically upwards from the ground. At a time t seconds after launch, its height, x metres, above the ground is given by the formula x = 24.5t – 4.5t². You are required to find the initial velocity of the missile and its velocity on impact (when it hits the ground). d.x Firstly, differentiate: dt Initial velocity, in metres per second, is: Round your answer to 3 decimal places. Time it returns to ground, in seconds, is: Round your answer to 3 decimal places. Velocity on impact, in metres per second, is: Round your answer to 2 decimal places.
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