Problem No. 1 The velocity of a particle is given by v = 20t2+ 100t + 50, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6 seconds of motion and evaluate the velocity when a is zero.
Problem No. 1 The velocity of a particle is given by v = 20t2+ 100t + 50, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6 seconds of motion and evaluate the velocity when a is zero.
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Problem No. 1
The velocity of a particle is given by v = 20t2+ 100t + 50, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6 seconds of motion and evaluate the velocity when a is zero.
Problem No. 2
Initially, the car travels along a straight road with a speed of 35 m/s. If the brakes are applied and the speed of the car is reduced to 10 m>s in 15 s, determine the constant deceleration of the car.
Problem No. 3
A ball is thrown vertically upward with a speed of 15 m/s. Determine the time of flight when it returns to its original position.
Problem No. 4
A particle travels along a straight line with a velocity of v = (4t - 3t2) m/s, where t is in seconds. Determine the position of the particle when t = 4s. s = 0 when t = 0
Problem No. 5
The motion of a particle is defined by the relation x =t4 -10t2 +8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t=1 s.
Problem No.6
The motion of a particle is defined by the relation x = 2t3 - 15t2 + 24t + 4, where x is expressed in meters and t in seconds. Determine (a) when the velocity is zero (b) the position and the total distance traveled when the acceleration is zero.
Problem No. 7
A stone is thrown vertically upward from a point on a bridge located 40 m above the water. Knowing that it strikes the water 4 s after release, determine (a) the speed with which the stone was thrown upward, (b) the speed with which the stone strikes the water.
Problem No. 8
A sprinter in a 100-m race accelerates uniformly for the first 35 m and then runs with constant velocity. If the sprinter’s time for the first 35 m is 5.4 s, determine (a) his acceleration, (b) his final velocity, (c) his time for the race.
Problem No. 9-10
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 s later with the same initial velocity. The two rockets are timed to explode simultaneously at a height of 300 m as A is falling and B is rising. Assuming a constant acceleration g = 9.81 m/s2, determine (a) the time t1, (b) the velocity of B relative to A at the time of the explosion.
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