A particle travels in a straight line $$$P Q$$$. The velocity of the particle $$$t \mathrm{~s}$$$ after leaving $$$P$$$ is $$$v \mathrm{~m} \mathrm{~s}^{-1}$$$, where $$\[ v=4.5+4 t-0.5 t^{2} . \]$$ Find the velocity of the particle at the instant when its acceleration is zero. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s20_qp_43 Year：2020 Question No：6(a)

Answer:

$
a=4-t
$
(M1 for differentiation)
When $a=0, t=4$
At $t=4, v=12.5$

Knowledge points:

4.2.3 use differentiation and integration with respect to time to solve simple problems concerning displacement, velocity and acceleration Calculus required is restricted to techniques from the content for Paper 1: Pure Mathematics 1.

Answer:

Knowledge points:

Solution:

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