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A projectile is launched from ground level with a speed of 25 m/s at an angle of 42° to the horizontal. What is the horizontal distance from the starting point of the projectile when it hits the ground?

Resolve the vertical velocity of the projectile (25sin42) and use v=u+at where v=-25sin42m/s, u=25sin42m/s, a=-9.8m/s/s to find t. t= (50sin42)/9.8= 3.41sResolve horizontal velocity (25cos42) and multiply...

Answered by Joe W. • Physics tutor

17910 Views

Write 5cos(theta) – 2sin(theta) in the form Rcos(theta + alpha), where R and alpha are constants, R > 0 and 0 <=alpha < 2 π Give the exact value of R and give the value of alpha in radians to 3 decimal places.

Use the formula cos(A+B)=cosAcosB-sinAsinB, Rcos(theta+alpha)=Rcos(alpha)cos(theta)-Rsin(alpha)sin(theta)5=Rcos(alpha)2=Rsin(alpha)tan(alpha)=2/5alpha= 0.381R=sqrt(5^2+2^2)=sqrt(29)So, 5cos(theta) – 2sin(...

Answered by Joe W. • Maths tutor

11666 Views

What does antithesis mean?

Antithesis is a literary device, quite similar to juxtaposition. But more explicitly, antithesis is the use of two opposites used in the same sentence to emphasise the contrasting effect. For example, 'Yo...

Answered by Nina P. • English tutor

4307 Views

How would I tackle questions regarding the depiction of education in Alan Bennet's play The History Boys?

Remember to always structure your essay as Point Evidence Explain.For example:(Point:)In The History Boys, the playwright Alan Bennet uses the characters of Hector, Irwin and the Headmaster to portray jux...

Answered by Nina P. • English Literature tutor

3838 Views

Find dy/dx for y=5x^3−2x^2+7x−15

'Find dy/dx' means it wants us to differentiate. The rules for this are multiply the coefficient (number before x) by the current power, then decrease the power by 1.In this example:5x³ would b...

Answered by Georgia S. • Maths tutor

6639 Views