A particle $$$P$$$ moves in a straight line. It starts at a point $$$O$$$ on the line and at time $$$t$$$ s after leaving $$$O$$$ it has velocity $$$v \mathrm{~m} \mathrm{~s}^{-1}$$$, where $$$v=4 t^{2}-20 t+21$$$. Find the initial acceleration of $$$P$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_43 Year：2020 Question No：5(b)

Answer:

$a=8 t-20, a(0)=\ldots$
$a=-20$

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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