Two rockets are launched at a fireworks display. Rocket A is launched with an initial velocity v0 = 100 m/s and rocket B is launched t1 seconds later with the same initial velocity. The two rockets are timed to explode simultaneously at a height of 500 m as A is falling and B is rising. Assume a constant acceleration g = 9.81 m/s2 Determine the time t1. The time t1 is ____s.

Q: The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial…

A:

Q: Consider the case of a student wishing to investigate the acceleration of a small cart in a lab…

A: Velocity versus time graph

Q: Q14: An arrow is shot straight up in the air at an initial speed of 15.0 m/s. After how much time is…

A: Given  Initial speed of arrow 15 m/s in upward direction  ∴  Vi = 15 m/s  Final speed of arrow…

Q: A ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864…

A: "As per the guidelines i solved the first three subpart". 1. Find the velocity equation in terms of…

Q: Two ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to…

A:

Q: A horse canters away from its trainer in a straight line, moving 44 mm away in 8.5 ss . It then…

A:

Q: You throw an object up with an initial velocity of voy = 5 m/s from a height of y = 25 m. Part (a)…

A: Given : Initial velocity (v0y) = 5 m/s Height (yi) = 25 m

Q: You are driving through town at 10.0 m/sm/s when suddenly a ball rolls out in front of you. You…

A:

Q: An object is moving with constant non-zero velocity in the +x direction. The velocity versus time…

A: Given:Object moving with constant velocity in                 the +x direction. To find: Velocity…

Q: The acceleration of a particle along an x axis is a = 6.2t, with t in seconds and a in meters per…

A:

Q: 2. An astronaut left the International Space Station to test a new space scooter. Her partner…

A: Simple problem of Kinematics. Please have a good look

Q: A jeepney and a train are moving together along parallel paths at 30.0 m/s, with the jeepney…

A: Solution:→Case 1     For the jeepney     Initial speed, u = 30 m/s     Acceleration, a = -2.5 m/s2…

Q: rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to…

A:

Q: An object moves along a straight line and experiences a constant acceleration of +1.53 cm/s2. At t =…

A:

Q: A fugutive is resting by a tree when a train passes him, traveling at a constant 6.2 m/s. The…

A: To catch the train in time t, distance travelled by the fugitive in time t must be equal to the…

Q: The position of an object as a function of time is given by x = bt2 – ct where b = 2.0 m/s? and c =…

A: Given  x=bt2-ct

Q: A jet accelerates at a constant rate from rest, traveling 900 m in 3.0 s. What is the magnitude of…

A:

Q: A cannon ball is launched into the air with an upward velocity of 294 feet per second, from a…

A:

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

A:

Q: Pr1. The speed of a cyclist along the horizontal road is 16 km/h, 12 km/h upward and 24 km/h…

A: Given: The speed in horizontal direction vh = 16 km/h. The speed in upward direction vu = 12 km/h.…

Q: The position of a particle is given by 7(t) = t² i + lIn(t)² j + sin nt k where t is measured in…

A: r→=t2 i^ + ln(t2 )j^ + sin πt k^velocity, v→=dr→dt= 2t i^ +2tj ^+πcosπt k^acceleration, a^=dv→dt=2…

Q: 5 Velocity of a particle changes from (3i + 4j) m/s to (6i + 5j) m/s is 2 s. Find magnitude and…

A: Average acceleration refers to the rate at which the velocity changes.  Here, we calculate the given…

Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

A:

Q: pacecraft accelerates at a rate of 20.0 m/s². a) How much time is required for its speed to increase…

A:

Q: Starting from a pillar, you run 400 m east (+x direction) at an average speed of 4 m/s, and then run…

A:

Q: a van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it…

A: The objective of the question is to calculate the van's average velocity, acceleration during the…

Q: what is the magnitude of the acceleration for an object starts with velocity ( 2i + 3j) m/s and…

A: Initial velocity of the object u→=2i^+3j^ (m/s) and final velocity of the object v→=13i^+7j^ (m/s),…

Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

A:

Q: An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She…

A: Answer..

Q: Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the…

A: Initial height of the ball is  from ground level.Horizontal velocity is Find:Time taken by the ball…

Q: A ball is attached to a paddle by a rubber band. The ball is initially moving away from the paddle…

A:

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: You and your friend Mahmood are walking in the Qurum Natural Park. You both first walk 2.0 km north…

A: Average velocity for the whole trip. given, d1=2 km  (north)d2=1 km (south)t1=30 minute=0.5 hrt2=30…

Q: An object moves in one dimensional motion with constant acceleration a = 7.4 m/s². At time t = 0 s,…

A:

Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: During 9.99 s, a motorcyclist changes his velocity from 1x = -35.3 m/s and v₁y = 14.5 m/s to 02x =…

A: The components of the motorcycle's average acceleration are given…

Q: Pedro is driving a motorcycle along Espana boulevard. His position X (in meters) at any given time t…

A: Pedro's position is given by, xt=1.124t2+6.022 Pedro's initial position will be when t=0.…

Q: You decide to travel by car for your holiday visits this year. You leave early in the morning to…

A:

Q: the ball during 40 (d) Question 6. Suppose a car is traveling at +22.5 m/s, and the driver sees a…

A: Given:Initial velocity Acceleration Reaction time Required:The stopping distance measured from the…

Q: A student holds a ball 1.55 meters above the ground and drops it. Her friend uses a stopwatch and…

A: Given: height of the ball above the ground (y) = 1.55 m            time taken by the ball to hit the…

Projectile Motion