Here we will solve selected **numerical problems on Projectile motion** and will also provide solution guidance. To get a good grasp on this chapter we need to solve some numerical problems, which really helps us a lot to understand the basics and use the formulas.

Earlier we have published posts on the *derivation of the projectile motion equations* and also published an *online calculator for projectile motion formula sets*. Here we go with our post on the numerical problems. (with a few harder problems). Hope you will solve these to test how good your preparation is. This numerical set is apt for the **class 11** physics syllabus also. (& for grade 12 HSC as well)

## Numerical problems on Projectile Motion with solution

Q1 ) A particle is projected from the surface of the earth with a speed of 20 m/s at an angle of **30 degrees with the horizontal. Determine the (a) time of flight (b) range (c) maximum height, and (d) equation of trajectory for this projectile motion (take g = 10 m/s^2)**

[**Study tips: Solving this problem requires a good grasp of the equations of projectile motion. ****You can study those here:** **projectile motion equations with derivation**]

## Projectile motion numerical problems class 11

Q2 ) A particle is projected from the surface of the earth with a velocity of 20 m/s at an angle of 30 degrees to the horizontal as shown in the figure. A wall of height 3 m is there at a horizontal distance of 10 m from the point of projection. Find out whether the particle hits the wall or not. g = 10m/s^2

**Solution: **Here we have to find out the value of vertical displacement y when horizontal displacement is x = 10 m. If the value of y comes out to be less than the height of the wall then the projectile hits the wall otherwise not.

[ Tips: This can be checked **by using the trajectory equation** (section A below) or **by using the equations of horizontal and vertical displacements** (section B below). Note: You may use either A or B while attempting in exams.]

**So, it is evident that the particle will not hit the wall.**

**So, it is evident that the particle will not hit the wall.**

## Projectile motion numerical solved | word problems worksheet solved

Q3 ) A particle is projected from the ground with a velocity of 20 m/s at an angle of 30 degrees with the horizontal. Determine the time at which the vertical displacement of the projectile is 3 m. (g = 10 m/s^2)