A-Level Physics · Practice Sheet 48

1. 1.

   Physics

   An object starts at 19 m/s and accelerates at 4 m/s² for 3 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

   View formula →
2. 2.

   Physics

   A projectile is launched at 21 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

   View formula →
3. 3.

   Mathematics

   Evaluate ∫ from 1 to 5 of 2x^3 dx.

   Formula:Definite Integral of a Power

   $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

   View formula →
4. 4.

   Mathematics

   For the quadratic 5x² − 4x + 1 = 0, find the sum and product of its roots.

   Formula:Vieta's Formulas (roots)

   $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

   View formula →
5. 5.

   Physics

   Find the momentum of a 30 kg body moving at 7 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
6. 6.

   Physics

   A force of 350 N acts on an area of 7 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

   View formula →
7. 7.

   Physics

   A constant force of 196 N moves an object 19 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

   View formula →
8. 8.

   Physics

   Find the momentum of a 5 kg body moving at 21 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
9. 9.

   Mathematics

   Find the distance between the points (-7, 4) and (-6, -2).

   Formula:Distance Between Two Points

   $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

   View formula →
10. 10.

    Mathematics

    Find term number 4 of a geometric progression with first term 4 and common ratio 2.

    Formula:GP nth Term

    $a_n = a\,r^{\,n-1}$

    View formula →
11. 11.

    Physics

    A body moving at 14 m/s accelerates at 4 m/s² for 7 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

    View formula →
12. 12.

    Physics

    Find the density of an object with mass 49 g and volume 43 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

    View formula →
13. 13.

    Mathematics

    For the quadratic 5x² − 6x − 4 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
14. 14.

    Physics

    A constant force of 82 N moves an object 34 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
15. 15.

    Physics

    A projectile is launched at 17 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

    Formula:Projectile Range

    $R = \dfrac{u^{2}\sin 2\theta}{g}$

    View formula →
16. 16.

    Mathematics

    For the quadratic 1x² − 2x − 7 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)

    $\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}$

    View formula →
17. 17.

    Mathematics

    In an arithmetic progression with first term 15 and common difference 8, find term number 25.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

    View formula →
18. 18.

    Mathematics

    Find term number 3 of a geometric progression with first term 3 and common ratio 2.

    Formula:GP nth Term

    $a_n = a\,r^{\,n-1}$

    View formula →
19. 19.

    Mathematics

    Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.

    Formula:Binomial Coefficient

    $\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$

    View formula →
20. 20.

    Physics

    A constant force of 167 N moves an object 3 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.