DYNARIB

If a particle’s position is given by the expression x(t) = 3.4 t³ – 5.4t meters, What is the acceleration of the particle after t = 5 seconds?

• 1.02 m/s²

• 102 m/s²

• 3.4 m/s²

• 18.1 m/s²

• None of the above

A man driving his car at a constant speed of 42 mph suddenly sees a cow crossing the road 60 feet ahead. At what constant deceleration (in feet/second²) is required to avoid hitting the animal? Assume a reaction time of 0.3 seconds before the man applies the brake.

• 43.895

• 44.129

• 45.695

• 46.982

• None of the above

A boat man rows to a place 48 miles distant and back in 14 hours but find that he can row 4 miles with the stream in the same time as 3 miles against the stream. find the rate of the stream

• 1.5 mph

• 1.0 mph

• 0.8 mph

• 0.6 mph

• None of the above

A thief escapes and boarded on a truck and traveled at a constant speed of 55 kph. To hours later after the truck felt, a policeman riding on a motorbike pursued the fugitive at a constant speed of 80 kph. How long did it take the policeman to catch up the criminal?

• 4.2 hours

• 4.4 hours

• 4.0 hours

• 4.8 hours

• None of the above

A car starts from rest and has a constant acceleration of 3 ft/s². Find the average velocity during the first 10 second of motion.

• 13 fps

• 15 fps

• 14 fps

• 12 fps

• None of the above

A train changes its speed uniformly from 60 mph to 30 mph in a distance of 1500 ft. What is its acceleration?

• -1.94 ft/ s²

• 2.04 ft/ s²

• -2.04 ft/ s²

• 1.94 ft/ s²

• None of the above

A ball is dropped from a building 100 m high. If the mass of the ball is 10 g after, what time will the ball strike the earth?

• 4.42 s

• 5.61 s

• 2.45 s

• 4.52 s

• None of the above

An automobile moving at a constant velocity of 15 m/s passes a gasoline station. Two seconds later, another automobile leaves the gasoline station and accelerates at a constant rate of 2 m/s². How soon will the second automobile overtake the first?

• 15.3 s

• 16.8 s

• 13.5 s

• 18.6 s

• None of the above

The velocity of a particle which moves along the S - axis is given by V = 2 - 4t + 5t^3/2 where t is in seconds and V in m/s. The particle is at the position S_o= 3 m when t = 0. Compute S, V and a when t = 3 s.

• 22.2 m; 15.98 m/s; 8.99 m/s²

• 25.2 m; 18.98 m/s; 9.99 m/s²

• 32.2 m; 19.98 m/s; 7.99 m/s²

• 35.2 m; 16.98 m/s; 6.99 m/s²

• None of the above

The distance a body travels is a function of time and is given by x (t) = 18t + 9t². Find its velocity at t = 2.

• 54

• 36

• 24

• 20

• None of the above