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A particle P moves with acceleration (-3i + 12j) m/s^2. Initially the velocity of P is 4i m/s. (a) Find the velocity of P at time t seconds. (b) Find the speed of P when t = 0.5

Solution:

V = V(0) + a*t

From the question: a = (-3i + 12j);
AR
Answered by Artur R. • Maths tutor
6184 Views

How do you differentiate a function?

The differential of a function is defined by the expression: dy/dx = Lim(dx->0) of (f(x+dx)-f(x))/dx. For functions only involving powers of x, the differentioal can easily be calculated by timesing by...

Answered by Max H. • Maths tutor

3121 Views

Line AB, with equation: 3x + 2y - 1 = 0, intersects line CD, with equation 4x - 6y -10 = 0. Find the point, P, where the two lines intersect.

Let eqn. 1 be: 3x + 2y - 1 = 0 & Let eqn. 2 be: 4x - 6y -10 = 0

Multiply eqn. 1 by a factor of 3, and add the two eqautions together. (This eliminates y from the equation)

This gives: 9...

Answered by Kris S. • Maths tutor

3550 Views

A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates of the points where this line intersects the axes

M=3

y1=1

x1=2

y-y1=m(x=x1)

y-1=3(x-2)

y-1=3x-6

y=3x-6

at the x axis, y=0.

‘Sub in to find the x co-rdinate:

0=3x-5

...

Answered by Anna C. • Maths tutor

7556 Views

A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?

With questions about projectiles, such as a ball travelling in the shape of a parabola through the air as in the above question, it is always good to split the problem into the horizontal and vertical com...

Answered by Ehsaan S. • Maths tutor

12944 Views