The velocity of a particle moving along a straight line is given by v = 25f²¹- 80t -200 where v is measured in meters per second and t in seconds. It is given that the object is located 100 m to the left of the origin at t= 0s. Compute velocity when acceleration is zero position(s) the object changes direction
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- Can you use these velocity components, together with y and a = 9.8m / (s ^ 2) to obtain the time of flight, t? Write the expression. Hint: x = vot and replace t using y = 1/2 * g * t ^ 2When a train is traveling along a straight track at 2m/s, it begins to accelerate at a = (60v-4) m/s, where v is in m/s. Determine its velocity v and the position 3 sec after the acceleration.On dry concrete, a car can decelerate at a rate of 7.00 m/s2, whereas on wet concrete it can decelerate at only 5.00 m/s2. Find the distances necessary to stop a car moving at 30.0 m/s (about 110 km/h) (a) on dry concrete and (b) on wet concrete. (c) Repeat both calculations, finding the displacement from the point where the driver sees a traffic light turn red, taking into account his reaction time of 0.500 s to get his foot on the brake.
- A person standing on the roof of a building 12 m high throws a ball upward with a velocity, Vₒᵧ = 22 m/s. Calculate (a) How high does the ball go with respect to the ground? and (b) What is the ball's velocity, V_fy, at impact?The position of an object moving in a straight path is given by s(t)=5t−1 What is the (instantaneous) velocity of the object at t=3?(c) Find, to the nearest metre, the distance between points P and R. A car is travelling on a straight horizontal road. The velocity of the car, vms ', at time t secondsm it travels past three points, P, Q and R, is modelled by the equation -1 v = at +bt+c, where a, b and c are constants. The car passes P at time t = 0 with velocity 8 ms. (a) State the value of c. The car passes Q at time t = 5 and at that instant its deceleration is 0.12 ms2. The car passes R at time t = 18 with velocity 2.96 ms-1. %3D (b) Determine the values of a and b. (e) Find, to the nearest metre, the distance between points P and R
- A particle's velocity is described by the function vx = t^2− 10t+7m/s, where t is in s How many turning points does the particle reach.On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free- fall acceleration on the moon is 1/6 of its value on earth. Suppose he hit the ball with a speed of 29 m/sm/s at an angle 36 ⁰⁰ above the horizontal. A) How long was the ball in flight? B) How far did it travel? C) Ignoring air resistance, how much farther would it travel on the moon than on earth?A ball is thrown from an initial height of 4 feet with an initial upward velocity of 29 fus. The ball's height h (in feet) after t seconds is given by the following. h-4+291-167 Find all values of t for which the ball's height is 16 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) initial height ground - seconds O-O
- The height (feet) of an object moving vertically is given by s = - 16t + 208t + 156, where t is in seconds. Find the object's velocity at t= 5, its maximum height and when it occurs, and its velocity when s = 0.On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/61/6 of its value on earth. Suppose he hit the ball with a speed of 28 m/sm/s at an angle 31o above the horizontal. Express your answer using two significant figures. (a) How long was the ball in flight?(b) How far did it travel?(c) How much farther would it have traveled on the moon than on earth?A firework is projected from the level ground in such a way that v0y = 10m/s and v0x = 20 m/s.a) Find the time it takes the firework to reach its maximum height reached.b) Since the firework returns to the ground, it has the same initial and final height. Whenthis happens, the time it takes the object to land is twice the time it takes to reach its maximum height. Using this information, find the horizontal and vertical components of the velocity of the firework right as it lands.