# Projectile Motion Numerical problems with solution guidance | word problem worksheet class 11

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)

Projectile Motion Numerical problems with solution guidance | word problem worksheet class 11
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