# acceleration

1. ### How do I find the total acceleration in a pendulum?

The problem is as follows: The diagram from below shows a pendulum. It is known that the magnitude of the tension of the wire is five times of that the weight of the sphere which is attached to. Acording to this information indicate True or False to the following statements: I. The...
2. ### How to find a force when a pair is given in a diagram with an acceleration?

The problem is as follows: A body of $5\,kg$ of mass is at rest when $x=0$. suddenly, two forces $\vec{F_{1}}$ and $\vec{F_{2}}$ act on the body applying on it an acceleration of $10\frac{m}{s^{2}}$ in magnitude. It is known that $F_{1}=70\,N$. Find the force $F_{2}$ in $N$. You may consider...
3. ### How do I find the acceleration of a block sliding over an incline?

The problem is as follows: A block is sliding with a constant velocity over an incline. The angle of that incline is $\alpha$. What would be the acceleration of the block when the angle of the incline is $2\alpha$? (You may use $g=10\frac{m}{s^2}$).} The alternatives given on my book are as...
4. ### How can I relate the arc length to the acceleration of an object with rotation?

The problem is as follows: A spheric strawberry candy is spinning inside a centrifuge in a confectionery. Find the magnitude of the acceleration in $\frac{m}{s^{2}}$ of the candy after $4\,s$ from the beginning of its rotation. It is known that the arc length follows the function $s(t)=1+t^3$...
5. ### How can I find the modulus of the angular acceleration?

The problem is as follows: A pulley starts spinning from rest a rotation with constant angular acceleration. After $5\,s$ a point in its periphery has an instant acceleration which makes a $53^{\circ}$ angle with its linear speed. Find the modulus of the angular acceleration (in...
6. ### How do I find the centripetal acceleration when vectors are given?

The problem is as follows: A lactose solution is put in a test tube inside a centrifuge as shown in the graph from below where a small dot represents the tube with the sugar (view from the top). Assuming that the sugar sample along the test tube behaves as a particle it spins following a...
7. ### How can I find the speed and the displacement of an object from acceleration graph?

The problem is as follows: An object is moving along the $\textrm{x-axis}$ with an initial speed of $+4\hat{i}\,\frac{m}{s}$, its acceleration against time is given in the graph from below. Find the speed on $\frac{m}{s}$ of the object for $t=9\,s$ and its displacement (on $m$) during the...
8. ### How to obtain the distance covered by a projectile if an additional acceleration is t

The problem is as follows: A projectile is fired from a horizontal ground with a speed of $\vec{v}=10\hat{i}+40\hat{j}\,\frac{m}{s}$. Due to gravity and the wind, the shell experiences a constant acceleration of $\vec{a}=-5\left(\hat{i}+2\hat{j}\right)\frac{m}{s^{2}}$. Find in meters at what...
9. ### Acceleration in terms of time

Can anyone help? Find s(t)\; if a(t)=\frac{5}{(1+t)^2 }, \; \; t\in [0,10]. Answer in the pdf is s(t)=5t-5\ln(t+1)+10. (using a=vâ€™=sâ€™â€™) v(t)=\int a(t) dt =c_1 - \frac{5}{t+1} , how to find c_1 ? Pdf says v(0)=0 then c_1=5. s(t)=\int v(t) dt =5t-5\ln(t+1) + c_2 \; , how to find...
10. ### Deriving the constant acceleration formulas using functional notation.

Hi, So I was trying to develop a more in-depth understanding of the constant acceleration equations, especially v^2 = u^2+2as. I found a video showing the derivation of this formula: JnFykw00HvE His logic goes like this. 1: Acceleration is the derivative of velocity w.r.t. time. a = dv/dt...
11. ### How to determine the minimum height of a roller coaster given an acceleration?

I've been going in circles (no pun intended) with this problem for several hours and yet I can't seem to find what am I doing wrong or misunderstanding, hence I hope somebody can help me with this problem. It states as follows: 1500-kg roller coaster (including passengers) passes point A at...
12. ### Two blocks on an incline

I'm having issues figuring out the acceleration of the 2kg block down the incline in the attached problem. When I apply Newton's 2nd law to the x-component in the direction of the acceleration, I end up with two unknowns (T and a). Could someone give me a push in the right direction to solve...
13. ### Finding acceleration through distance and time?

Iâ€™ve been presented with a question in my assignment and have no idea have to solve it. â€œA particle is moving along a straight line with constant acceleration. It passes through points A, B and C. It takes 2 secs to travel from A to B, a distance of 14 m, and takes 3 secs to travel from...
14. ### acceleration at velocity=zero

The equation of motion of a particle is s = tÂ³ âˆ’ 12t, where s is in meters and t is in seconds. (Assume t â‰¥ 0.) Find the acceleration when the velocity is 0. How can I do this, please? Don't just give me the answer - teach how I can do it, please. Thanks.
15. ### Calculus acceleration range of positive values??? help!

A particle starting from rest moves with velocity v ms^-1 where v=3t(t-4) find the range of values of t for which acceleration is positive. 3t-4*t is this the start? Then plug in values? Felling very list with what the question is asking.
16. ### Find acceleration ... velocity is t sin 3t ms^-1

Hi new here. stuck on this one: Find the acceleration of a particle at time "t" seconds given that the velocity is t sin 3t ms^-1.
17. ### Calculating the Acceleration

So I'm stuck on another homework problem. There is no equation this time to help me out and I'm unsure if I'm able to write this as function of time at this moment. Could I get another hint?
18. ### Trouble comparing angular acceleration to linear acceleration :

I'm learning about angular velocity, momentum, etc. and how all the equations are parallel to linear equations such as velocity or momentum. However, I'm having trouble comparing angular acceleration to linear acceleration. Looking at each equation, they are not as similar as some of the...
19. ### Linear Velocity & Acceleration Question

I'm having trouble with this question. A car traveling at a speed of 140km/h decelerates for 20 seconds. During this time it travels 500m. a) What is its deceleration? b) What is its speed after the deceleration? Answers in the book are a) 1.389 m/s^2, b) 40 km/h But I can't...
20. ### Kinematics Question

Link for graph: https://postimg.org/image/9yefgd69p/ The above graph represents the motion of two vehicles: A and B a. What is the acceleration of vehicle A during the first 5.0 s? b. Calculate the distance between vehicle A and B after 6.0 s? c. What is the instantaneous acceleration of...