Find the position and velocity of an object moving along a straight line given acceleration, initial velovity, and initial position. a(t)=4e^-t v(0)=-4 s(0)=9
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- A body moves along a straight line so that its displacement from a fixed point on the line is given by S = 3t^2 + 2t. Find the displacement, velocity and acceleration at the end of 3 seconds.Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. Use the Fundamental Theorem of Calculus .A(t)= cos 2t; v(0)= 5; s(0)= 7The position of a particle travelling along a straight line is given by the equation s(t) = t2−2t+3, where t is in seconds. What type of motion is the particle under?
- The position of a particle along a straight line is given by s= t^3 −9t^2 + 15t [ft] where t is in seconds. Find average speed, average velocity, acceleration, displacement, distance traveled, and at what time did the direction reverse. 0 ≤ t ≤10 [s]A hot-air balloon is descending at a rate of 5 m/s at a height of 500 m above the ground when a package is dropped. How long does it take the package to reach the ground? Provide FBD. This 1D motion constant accelerationA friend of yours contends that the acceleration of a ball tossed up into the air is positive on the way up, negative as it is falling down and zeroat the top of the trajectory. What is your opinion on the matter? Justify your response based on kinematic principles.
- Calculate the displacement and velocity of (a) 0.500, (b)1.00s (c)1.50s, and (d) 2.00s for a ball thrown straight up with an initial velocity of 15.0m/sAn object has an instantaneous acceleration of a(t) =(t^2) m/s^2. At t=3 s, find it's position.A car with initial velocity 7.2 m/s undergoes a constant acceleration. What is the acceleration (in m/s2 ) if the velocity of the car is 9.5 m/s 6 seconds later? Make sure to include a minus sign, if appropriate.
- A particle moves on a straight line and has acceleration a(t)=36t+2. Its position at time t=0 is s(0)=3 and its velocity at time t=0 is v(0)=16. Determine what is its position at time t=10.If the graph of the velocity of an object as a function of time is a straight line, what can you conclude about the acceleration of the object is the slope is (a) positive, (b) negative, and (c) zero?A car driving on a straight track accelerates at a rate of 3.2 m/s^2 for 4 secs. If the initial velocity of the car was 5.1 m/s, and initial position was 0 m, what's the final velocity?