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A 950 kg car accelerates from 0 to 33 m/s in 11 seconds. a) Calculate the acceleration of the car b) Calculate the force needed to produce this acceleration c) The car claims a top speed of 110 miles/hr. Explain why there must be a top speed for any car

a) a=v-u/t = 33/1 = 3 b) F = ma = 950x3 = 2850 c) Friction and air resistance increases with speed, till frictional = max forward force, then force/acceleration is zero
RB
Answered by Raina B. • Physics tutor
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Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do this w...
RB
Answered by Raina B. • Maths tutor
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What is the equation of the tangent drawn to the curve y = x^3 - 2x + 1 at x = 2?

The equation of a two-dimensional non-vertical line can easily be determined if its gradient 'm' and a point on the line (x0, y0) is known, using the formula m = (y - y0) / (x - x0). The gradient of the tang...
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Answered by Mario Z. • Maths tutor
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Using examples of an Earthquake, describe the effects of the disaster. (4 marks)

Kobe Earthquake hit Japan in January 1995 with a magnitude of 6.9 Mw. The short term effects were that 6433 deaths occured, and around 27,000 people were injured due to collapsed buildings and structures. Al...
AC
Answered by Adriana C. • Geography tutor
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Why does the product rule for differentiating functions work?

Let k(x) = f(x)g(x) then k'(x) = limit as h --> 0 of: (h(x+h)-h(x))/h = lim (f(x+h)g(x+h) - f(x)g(x))/h We can factorise the numerator as: f(x+h)g(x+h) - f(x)g(x) =f(x+h)g(x+h) -g(x)f(x+h) + g(x)f(x+h)- f...
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Answered by Blaine V. • Maths tutor
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