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The velocity, v, of a moving body at time t is given by v = 50 - 10t. A) Find its acceleration. B) The initial displacement, s, is 40 meters. Find an expression for s in terms of t.

A) To find acceleration from a velocity equation, we must differentiate velocity, v = 50 - 10t.This gives us dv/dt = -10 = accelerationB) To find displacement from velocity, we must integrate the velocity eq...
AS
Answered by Alex S. • Maths tutor
5015 Views

Differentiate the following: 2x^2 + 3x -2

The correct answer is: 4x+3. The first part of the equation is differentiated by multiplying the power by the constant in front (2*2). The power is then reduced by one to x^1 (which is just x). This is repea...
TB
Answered by Tilly B. • Maths tutor
3769 Views

Solve the following for x: 2x^2-9x=5

The format of this question shows that it is a quadratic, which we can solve by factorising . We have 3 methods by which we can do this:First, we need to manipulate the equation into the form ax^2+bx+c. Subt...
NP
Answered by Noah P. • Maths tutor
4753 Views

Solve the following simultaneous equations: 3x + y = 11 2x + y = 8

Start off by determining which unknowns have the same coefficient- In this case it would be y as the coefficient of y is 1 in both equationsThen make both equations equal to y- So 3x+y= 11 would become y= 11...
AR
Answered by Amelia R. • Maths tutor
4609 Views

Show that the line with equation ax + by + c = 0 has gradient -a/b and cuts the y axis at -c/b?

This question involves inspecting the answers that have been provided to us. We have been given a constant gradient, and a point at which the line given by the equation cuts the y axis. This, therefore, mean...
DE
Answered by Dominic E. • Maths tutor
9621 Views