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A level - Find the coordinates of the stationary point of the curve with equation : (x+y-2)^2 + e^y -1

Immediately by reading the question we know that differentiation will need to bee used as we are asked to find the stationary point and this is found by equating the derivative equal to 0.Knowing this, fi...

Answered by Scarlett H. • Maths tutor

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A ball is kicked and has an instantaneous velocity of 19.6m/s at an angle of 30 degrees to the horizontal. A target lies flat on the ground in the direction the ball is kicked and lies at a distance of (98/5)*(3^1/2)m. Does the ball land on the target?

First assume air resistance is negligible.Draw a diagram for the problem, this makes picturing it a lot easier.Next calculate the horizontal and vertical velocity of the ball. With the aid of a diagram an...

Answered by Alexander S. • Maths tutor

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Using simultaneous equations find x & y. Equation A: 3x + 2y = 3 -y and Equation B: 5x + 3y = 6 + x

So firstly, it makes it a lot easier if we put all the stuff we don't know on one side, and the numbers on the other. Be careful moving the -y over to the other side. This would give Equation A as 3x + 3y...

Answered by Elke M. • Maths tutor

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A car is accelerating at 2 ms^-2 along a horizontal road. It passes a point A with a velocity of 10 ms^-1 and later a point B, where AB = 50m. FInd the velocity of the car as it passes through B.

From the first look, we can see the question states the car is undergoing constant acceleration, thus we know the SUVAT equations are valid. Then reading on, we're required to find the final velocity, v, ...

Answered by • Maths tutor

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