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If I throw a ball vertically upwards with a velocity of 15 m/s and we assume the gravitational acceleration is 10 m/s^2. Draw the distance-time, and velocity-time graphs, how long is the ball in the air before it returns to the point I threw it from?

We will need a SUVAT equations, so first fill in what information we have:S = 0 (the point where the ball returns to the start)U = +15 m/sV = -15 m/s (from graph)A = -10 m/s (important that this is the op...

Answered by Barnaby F. • Maths tutor

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Find the equation of the tangent line to the parabola y=x^2+3x+2 at point P(1, 6).

In order to find the equation of the tangent line, first we have to find its slope. To do this, we take the first derivative of the function. In this particular case, we just need to apply the power rule ...

Answered by Boris A. • Maths tutor

5069 Views

The equation x^2 + 3px + p = 0, where p is a non-zero constant, has equal roots. Find the value of p.

Firstly, we need to recognise that the question stated that the quadratic equation has equal roots. This tells us that the discriminant of the equation (b^2 - 4ac) will be an important pa...

Answered by Emmanuel B. • Maths tutor

22121 Views

complete the square of x^2 + 2x - 6

There is always a systematic approach to answering questions that require you to complete the square. Before you start answering the question make sure the coefficient of x^2 is 1. For th...

Answered by Viroshan G. • Maths tutor

3803 Views

Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1

First complete the square on the curve in the answer to obtain y=(x+2)²- 5 Now if you were to call your original equation y=f(x) you could see that the new equation is simply y=f(x+2) - 5This ...

Answered by Shavon D. • Maths tutor

2903 Views