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The velocity of a car at time, ts^-1, during the first 20 s of its journey, is given by v = kt + 0.03t^2, where k is a constant. When t = 20 the acceleration of the car is 1.3ms^-2, what is the value of k?

Our task is to find out the value of k, which we can determine from the equations for velocity or acceleration if we know 2 of the 3 variables in either equation. We are given the value of acceleration at...

LM
Answered by Lascelle M. Maths tutor
8044 Views

Solve n^2 – n – 90 = 0 to find value of n

Firstly you want to factorise this expression. You have n2, so you know you want to multiple n by itself. Next, you want to think carefully about what two numbers add to get -...

AI
Answered by Ahmed I. Maths tutor
3662 Views

If p = (3a + 5)/(4 - a), make a the subject of the formula

You want to end up an equation that show what a is in terms of p. To make things simpler, we want to get rid of the fraction on the right by multiplying both sides by (4 - a). If we do this we end up with...

AI
Answered by Ahmed I. Maths tutor
3125 Views

y=x^2 +4x-12, Find the Range (co-domain) when the domain of x is (1) -6 to 2 inclusive (2) the set of real numbers, R.

This question usually comes up at AS level where students have prior knowledge of quadratic functions:We need to 1) understand the 'shape' 2) locate the roots 3) Find the turning point 4) sketch the graph...

PT
Answered by Pascal T. Maths tutor
2555 Views

Calculate 3/5 + 5/8. Give your answer as a mixed number in its simplest form.

To answer this question, create the least common denominator possible. In this instance, the LCD is 40. (I know this because multiples of 5 only end in 0 and 5, and 40 is the lowest multiple of 8 that mee...

EP
Answered by Emily P. Maths tutor
12420 Views

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