Grade 11Mechanics

Please get my these two questions solved.
If a graph of acceleration versus position is given, then how to find the equation of position with respect to time

Question image for Please get my these two questions solved. If a gr

Prachi

9 Years agoGrade 11

2 Answers

Manas Shukla

9 Years ago

U dont need to draw any graph for those two questions.

We can see the maximum height of the object is at 3.5 secs.

Now we can see from given graph that we need to find h = h1 – h2

h1 = height of object at t=5secs

h2 = height of object at t= 6 secs

which can be written as h = (H - h2) – (H – h1) where H is the maximum height.

H-h1 = $\frac{1}{2}gt^{2}$ = 5 x 1.5 x 1.5

H-h2 = 5 x 2.5 x 2.5

h = 5 (6.25 – 2.25) = 20m

Manas Shukla

9 Years ago

For second question

Displacement will be = $\sqrt{20^{2} + 10^{2}}$

Thus X = $10\sqrt{5}$ = 22.36 km

Let me know if u need any further help.

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Please get my these two questions solved. If a graph of acceleration versus position is given, then how to find the equation of position with respect to time

Prachi

2 Answers

Manas Shukla

Manas Shukla

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Please get my these two questions solved.
If a graph of acceleration versus position is given, then how to find the equation of position with respect to time

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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