Answer
427.8k+ views
Hint:-We have been given only two values that are the two velocities in the x and y direction. Apply the formula from the equations of kinematics ($y = {y_o} + {v_o}t + \dfrac{1}{2}a{t^2}$; where y = final distance, ${y_o}$= Initial distance; t = time; a = g = (-) acceleration). that would find the time taken to cover the distance and then put it in the formula ($s = \dfrac{d}{t}$; s = speed; d = distance; t = time).
Complete step-by-step solution:-
Step 1:
Calculate the total time taken
Apply the distance formula of kinematics,
$y = {y_o} + {v_o}t + \dfrac{1}{2}a{t^2}$ ;
Here the point where it lands the y coordinate would be zero, similarly at the starting when the ball is being hit ${y_o} = 0$.
$0 = {v_o}t + \dfrac{1}{2}a{t^2}$;
Put the given values in the above equation.
$0 = 10t + \dfrac{1}{2}( - 10){t^2}$; ..(Here $a = g = -10m/{s^2}$ a = g = -10 (indicating direction))
$0 = 10t + 5{t^2}$;
$0 = (10 + 5t)t$;
Solve the above equation
t = 0, 2 seconds;
Step2: Find the distance covered.
$s = \dfrac{d}{t}$ ;
Take t to the LHS
$d = s \times t$;
Here d = x, s = ${v_o}$, t = t.
$x = {v_o}t$;
$x = 30 \times 2$;
$x = 60m$;
Final Answer: Option “4” is correct. The ball travelled 60 m horizontally before landing on the ground.
Note:- Here it seems a question of parabolic or projectile motion as the ball is travelling horizontally and vertically and at a distance but it is not so. Here we need to apply the equation of kinematics to first find the time taken and then apply the speed, distance and time formula to find out the distance covered. Here y would be zero at the time when the ball is hit and when the ball lands.
Complete step-by-step solution:-
Step 1:
Calculate the total time taken
Apply the distance formula of kinematics,
$y = {y_o} + {v_o}t + \dfrac{1}{2}a{t^2}$ ;
Here the point where it lands the y coordinate would be zero, similarly at the starting when the ball is being hit ${y_o} = 0$.
$0 = {v_o}t + \dfrac{1}{2}a{t^2}$;
Put the given values in the above equation.
$0 = 10t + \dfrac{1}{2}( - 10){t^2}$; ..(Here $a = g = -10m/{s^2}$ a = g = -10 (indicating direction))
$0 = 10t + 5{t^2}$;
$0 = (10 + 5t)t$;
Solve the above equation
t = 0, 2 seconds;
Step2: Find the distance covered.
$s = \dfrac{d}{t}$ ;
Take t to the LHS
$d = s \times t$;
Here d = x, s = ${v_o}$, t = t.
$x = {v_o}t$;
$x = 30 \times 2$;
$x = 60m$;
Final Answer: Option “4” is correct. The ball travelled 60 m horizontally before landing on the ground.
Note:- Here it seems a question of parabolic or projectile motion as the ball is travelling horizontally and vertically and at a distance but it is not so. Here we need to apply the equation of kinematics to first find the time taken and then apply the speed, distance and time formula to find out the distance covered. Here y would be zero at the time when the ball is hit and when the ball lands.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)