A police jeep is chasing a culprit going on a motorbike. The motorbike crosses a turning at a speed of `72 kmh^-1`. The jeep follows it at as peed of 108 kmh^-1`, crossing the turning ten seconds later than the bike. Assuming that they travel at constant speeds, how far from the turning will the jeep catch up with the bike.

A police is chasing a culprit going n a motorbike. The motorbike crosses a turning at a speed of 72 km/h. The jeep follows it at a speed of 90 km/h, crossing the turning tenseconds latert than the bike. Assuming that they tavel at constant speeds, how far from the turning will the jeep catch up with the bike?

A motorbike travelling at a constant speed turns at an intersection. The bike follows a horizontal circular path with a radius of 25 m as shown in the figure. At point O, the bike hits an area of ice and loses all frictional forces on its tyres. Which path does the bike follow on the ice?

A thief is running away on a straitht road in a moving with a speed of 9 ms^(-1) . A policeman chases him on a motor cycle moving at a speed of 10 ms^(-1) . If the instananeous separation of the jeep from the motor cycle is 100 m , how long will it take for the policeman to catch the thief ?.

A man can swim with a speed of 4kmh^(-1) in still water. He crosses a river 1km wise that flows steadly at 3kmh^(-1) . If he makes his strokes normal to the river current, how far down the river does he go when he reaches the other bank?

A police party is chasing a dacoit in a jeep which is moving at a constant speed v . The dacoit is on a motor cycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate alpha . Which of the following relations is true, if the police is able to catch the dacoit ?

To find the speed of a river's current, boatman decides to carry out the following experiment. He drops a wooden bucket into the water and himself sets off downstream, rowing along the flow of river. After 40 min, he reaches a point A, 1km from his starting-point and turns back. After travelling some distance upstream, he picks up the bucket, turns round again and, rowing downstram once more, reaches A for the second time 24 min later (after picking the bucket). Assuming that the speeds of both current and boat (w.r.t. river) are constant, and also that no time is wasted on turning round. What is the speed of the current?

To find the speed of a river's current, boatman decides to carry out the following experiment. He drops a wooden bucket into the water and himself sets off downstream, rowing along the flow of river. After 40 min, he reaches a point A, 1km from his starting-point and turns back. After travelling some distance upstream, he picks up the bucket, turns round again and, rowing downstram once more, reaches A for the second time 24 min later (after picking the bucket). Assuming that the speeds of both current and boat (w.r.t. river) are constant, and also that no time is wasted on turning round. What is the boat's speed relative to the water?

A student is running at her top speed of 5.0 m s^(-1) , to catch a bus, which is stopped at the bus stop. When the student is still 40.0m from the bus, it starts to pull away, moving with a constant acceleration of 0.2 m s^(-2) . a For how much time and what distance does the student have to run at 5.0 m s^(-1) before she overtakes the bus? b. When she reached the bus, how fast was the bus travelling? c. Sketch an x-t graph for bothe the student and the bus. d. Teh equations uou used in part (a)to find the time have a second solution, corresponding to a later time for which the student and the bus are again at thesame place if they continue their specified motions. Explain the significance of this second solution. How fast is the bus travelling at this point? e. If the student s top speed is 3.5 m s^(-1), will she catch the bus? f. What is the minimum speed the student must have to just catch up with the bus?For what time and what distance dies she have to run in that case?