AP Physics · Practice Sheet 39

1. 1.

   Physics

   An object starts at 11 m/s and accelerates at 1 m/s² for 9 s. Find its final velocity.

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

   $v = u + at$

   View formula →
2. 2.

   Mathematics

   In an arithmetic progression with first term 3 and common difference 3, find term number 10.

   Formula:AP nth Term

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

   View formula →
3. 3.

   Physics

   Find the electrical power when 25 V drives a current of 17 A.

   Formula:Electrical Power

   $P = VI$

   View formula →
4. 4.

   Physics

   Find the force required to accelerate a 7 kg mass at 17 m/s².

   Formula:Newton's Second Law (F = ma)

   $F = ma$

   View formula →
5. 5.

   Mathematics

   Evaluate log base 5 of 125.

   Formula:Logarithm Evaluation

   $\log_{b}(b^{k}) = k$

   View formula →
6. 6.

   Mathematics

   In an arithmetic progression with first term 10 and common difference 4, find term number 5.

   Formula:AP nth Term

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

   View formula →
7. 7.

   Physics

   A body moving at 3 m/s accelerates at 4 m/s² for 6 s. Find the distance travelled.

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

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

   View formula →
8. 8.

   Physics

   Find the density of an object with mass 244 g and volume 44 cm³.

   Formula:Density

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

   View formula →
9. 9.

   Mathematics

   Find the distance between the points (-2, 5) and (-4, 7).

   Formula:Distance Between Two Points

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

   View formula →
10. 10.

    Mathematics

    In an arithmetic progression with first term 11 and common difference 4, find term number 7.

    Formula:AP nth Term

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

    View formula →
11. 11.

    Mathematics

    Find the distance between the points (-6, 3) and (4, -2).

    Formula:Distance Between Two Points

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

    View formula →
12. 12.

    Physics

    A constant force of 103 N moves an object 11 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
13. 13.

    Physics

    Find the kinetic energy of a 3 kg object moving at 8 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

    View formula →
14. 14.

    Physics

    Calculate the potential energy of a 15 kg object at a height of 38 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →
15. 15.

    Physics

    A body moving at 4 m/s accelerates at 6 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 →
16. 16.

    Physics

    Calculate the potential energy of a 49 kg object at a height of 4 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

    View formula →
17. 17.

    Physics

    An object starts at 10 m/s and accelerates at 7 m/s² for 11 s. Find its final velocity.

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

    $v = u + at$

    View formula →
18. 18.

    Mathematics

    Evaluate ∫ from 0 to 5 of 1x^1 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 →
19. 19.

    Physics

    An object starts at 19 m/s and accelerates at 1 m/s² for 2 s. Find its final velocity.

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

    $v = u + at$

    View formula →
20. 20.

    Mathematics

    For the quadratic 5x² + 6x − 2 = 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 →

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